properties of triangles - line segments in angle bisectors · p 202) find sd if pd = 2 and sp =...

69) Find PF if PG = 53.

C D

E

HG

F

P

70) PR = 97. Find PS.

FG

H

Q R

S

P

71) PC = 41. Find PD.

Q

R SB

C

DP

72) Find PS if PT = 48.

E

F

G

S

T

U

P

-18-

73) PU = 87. Find PV.

D

E

F

T

U

V

P

74) Find PA if PB = 63.

T

U

V

A

B

C P

75) PR = 89. Find PS.

V

UTQ

R

SP

76) Find PU if PT = 42.

WX

Y

ST

U

P

-19-

149) Find VY if PY = 1

and VP = 6.

VU

T

X

Y

Z

P

150) Find RB if PB = 4

and RP = 5.

R

ST C

B A

P

151) PY = 1 and EP = 2.24.

Find EY.

E

F

G

X

Y

Z P

152) PX = 2.24 and DX = 2.

Find DP.

D

E

F

W

X

Y

P

153) PS = 2.65 and ES = 3.

Find EP.

E

F

G

T

S

R

P

154) PW = 2 and RX = 4.58.

Find RP.

R

S

T

W

X

Y

P

155) Find PC if EC = 2

and EP = 2.24.

E

F

G

B

C

D P

156) FR = 5.66 and FP = 6.

Find PR.

F E

D

QR

S

P

157) Find AP if PW = 3

and AV = 5.

A

BC U

V

W

P

-31-

158) Find DS if PS = 1

and DP = 5.1.

D

CB R

S TP

159) QF = 3 and QP = 3.16.

Find PG.

Q R

S

GF

E

P

160) Find WB if PB = 1

and WP = 4.12.

W

X

Y

C

B

A

P

161) Find PC if VC = 3.46

and VP = 4.

V

WX B

C DP

162) Find PY if BY = 2

and BP = 2.83.

B

C DX

YZ

P

163) PW = 3 and SX = 2.

Find SP.

S

R

Q

W

X

YP

164) ES = 3 and EP = 5.

Find PS.

E

FG R

S T

P

165) Find DT if PT = 2

and DP = 6.

D

E

F

S

T

U

P

166) SG = 2.83 and SP = 3.

Find PG.

S

TU F

G HP

167) Find PV if CV = 3

and CP = 3.61.

C

D

E

U

V

WP

-32-

168) Find SW if PW = 4

and SP = 6.

S

RQ X

W V

P

169) AY = 3 and AP = 4.24.

Find PZ.

A B

C

XY

Z

P

170) Find RX if PX = 1.73

and RP = 2.

RS

T

Y

X

W

P

171) PC = 2 and SP = 4.47.

Find SC.

S

R QB

CD

P

172) PE = 1.73 and WE = 1.

Find WP.

W

X

Y

D

E

FP

173) Find PF if WE = 2.65

and WP = 4.

W

X

Y

D

E

FP

174) TB = 5 and TP = 5.83.

Find PB.

T

UV A

B

CP

175) Find PB if WC = 5

and WP = 5.1.

W

XY B

CDP

-33-

176) Find PE if VE = 1.73

and VP = 2.

V

W

X

D

E

F

P

177) Find PU if ET = 5.92

and EP = 6.

E

D CS

T

UP

178) Find PG if QG = 1

and QP = 3.

Q

R

S

H

G

FP

179) Find SP if PF = 4

and SF = 4.

S

R QE

FG

P

180) PF = 1 and TP = 7.

Find TE.

T

UV D

E FP

181) Find TP if PR = 1

and TR = 3.87.

T

UVQ

R

SP

182) DW = 1 and DP = 1.41.

Find PW.

D

C

B

V

W

X

P

183) PX = 1 and UP = 6.08.

Find UX.

U T

S

Y

X

W

P

-34-

184) VD = 4 and VP = 4.12.

Find PD.

V

W

X

E

D

C

P

185) Find PF if TF = 6.71

and TP = 7.

T

SR E

F

GP

186) WC = 2 and WP = 3.61.

Find PC.

WX

Y

B

C

D

P

187) Find BU if PU = 2

and BP = 5.39.

B C

D

T

U

V

P

188) PV = 3 and EP = 4.24.

Find EU.

E

FG V

UT

P

189) Find PC if QC = 4.9

and QP = 5.

Q

R SB

CD P

190) ZE = 4.58 and ZP = 5.

Find PE.

Z Y

X

DE

F

P

191) PT = 2 and XP = 2.24.

Find XS.

XW

V

R

S

T

P

-35-

192) PX = 4 and TX = 3.

Find TP.

TU

V

W

X

Y

P

193) WS = 5 and WP = 5.39.

Find PS.

WV

U

TS

R

P

194) Find FP if PW = 2

and FW = 5.66.

F

GH V

W XP

195) Find PF if UF = 4

and UP = 4.47.

U

V WE

F

GP

196) PS = 1 and DS = 5.92.

Find DP.

D

EF R

STP

197) Find HP if PB = 4

and HB = 4.47.

H

G

F

C

B

A P

198) Find QE if PE = 4

and QP = 5.66.

Q

R

S

F

E

D

P

199) Find DP if PB = 1

and DB = 6.93.

D

E FA

BC P

-36-

200) PV = 2.83 and EV = 1.

Find EP.

E

FG W

V U

P

201) PX = 1 and VP = 3.

Find VX.

VU

T

YX

W

P

202) Find SD if PD = 2

and SP = 2.83.

S

TU C

D E

P

203) Find BP if PV = 1

and BU = 1.

B

CD V

U T

P

204) Find BP if PZ = 2

and BY = 2.

B

C

D

X

Y

ZP

205) PV = 6 and QV = 8.

Find QP.

QR

S

W

V

U

P

206) Find PX if UY = 4

and UP = 5.

UT

SZ

Y

X

P

207) PB = 1 and VB = 2.

Find VP.

VW

X

CB

A

P


and HB = 3.

H

G

F

C

B

AP

209) PV = 3 and DP = 5.

Find DV.

D

C BU

VW

P

-37-

210) Find PG if TG = 2

and TP = 3.

T U

V

FG

H

P

211) Find HB if PB = 3

and HP = 6.71.

H

G

F

C

B

AP

212) PC = 1 and UC = 6.

Find UP.

UV

W

D

C

B

P

213) PC = 1 and XP = 4.

Find XB.

X

Y

Z

A

B

C

P

214) PS = 6 and CP = 10.

Find CS.

C

D

E

T

S

R P

215) Find PG if CG = 8

and CP = 9.

C

D

E

F

G

H

P

216) Find WR if PR = 1

and WP = 2.

W

V

U

Q

R

S P

217) PS = 1 and ET = 4.

Find EP.

E

F

G

S

T

U

P

218) Find HP if PX = 2

and HX = 5.

H

GF Y

X

WP

-38-

227) Find EX if PX = 2

and EP = 6.

EF

G

YX

W

P

228) PX = 2 and CP = 3.

Find CX.

C

D EW

XY

P

229) Find XB if PB = 1

and XP = 4.12.

X

Y

Z

A

B

C

P

230) Find PU if EU = 6

and EP = 8.

E

D CT

UV

P

231) PV = 4 and XP = 7.

Find XV.

XY

Z

U V

W

P

232) VR = 3 and VP = 4.

Find PS.

V

W

X

Q

R

S P

233) Find PH if YG = 6

and YP = 7.

Y

XW F

G H

P

234) Find PE if WE = 2

and WP = 2.83.

W

XY D

E

F

P

235) PG = 5 and VP = 7.

Find VF.

V

U TG

FE

P

236) Find PR if BR = 8

and BP = 10.

B

C DS

RQ

P

-40-

237) Find CP if PW = 3

and CV = 7.

C

D

E

W

V

U

P

238) Find BS if PR = 1

and BP = 9.

B

CD T

S

RP

239) PC = 3 and WP = 4.

Find WC.

W

X

Y

B

C

D P

240) Find PV if HV = 4

and HP = 6.

HG

F

U

V

W

P

241) PF = 2 and QG = 7.

Find QP.

Q

R

S

F

G

H

P

242) PB = 2 and TP = 7.

Find TB.

T

U

V

A

B

C

P

243) Find PE if UD = 1.73

and UP = 2.

U

TS C

D E

P

244) Find ET if PS = 1

and EP = 5.

E

FG U

T

SP

-41-

245) Find TP if PD = 2

and TD = 1.

T S

R

E

D

C

P

246) PV = 5 and ZU = 5.

Find ZP.

Z

YX T

U V

P

247) Find PU if DU = 6.71

and DP = 7.

D

E

F

V

U

T

P

248) BY = 6.93 and BP = 7.

Find PY.

B

CD X

Y

ZP

249) WY = 4 and WP = 4.12.

Find PZ.

W

VU X

Y

ZP

250) Find PB if GB = 6

and GP = 6.08.

G

F

E

A

B

C

P

251) Find RP if PX = 1

and RX = 5.

R

ST W

X

YP

252) PB = 1 and UP = 6.

Find UB.

U

VW A

B CP

-42-

253) UD = 5 and UP = 5.1.

Find PC.

UV

W

C

D

E

P

254) Find DW if PW = 2

and DP = 4.

D

E

F

X

W

V

P

255) PH = 3.61 and ZP = 7.

Find ZG.

ZY

X

FG

H

P

256) Find DP if PF = 1

and DF = 2.83.

D

C

B

G

F

EP

257) PQ = 3 and DR = 6.

Find DP.

D

E

F

Q

R

S

P

258) BT = 1 and BP = 2.

Find PT.

BC

D

ST

U

P

259) BV = 2.83 and BP = 3.

Find PU.

B

C DU

V

WP

260) PT = 1 and YP = 7.

Find YU.

Y

X

W

T

U

V

P

261) Find RV if PV = 4

and RP = 5.

R

S TU

V

W

P

262) PG = 3.87 and CP = 8.

Find CG.

CD

E

F

G

H

P

-43-

263) DU = 2 and DP = 2.24.

Find PT.

D

E

F

T

U

V P

264) Find CG if PG = 1

and CP = 2.24.

CD

E

FG

H

P

265) BU = 2.24 and BP = 3.

Find PU.

B

C DV

U

T P

266) PS = 3.32 and ZT = 5.

Find ZP.

ZY

X

U

T

S

P

267) Find VP if PX = 3

and VX = 2.

V

U

T

Y

X

WP

268) PX = 5 and QX = 4.

Find QP.

Q

R SW

XY

P

269) PS = 2.65 and XP = 4.

Find XR.

X Y

Z

QR

S

P

270) Find PB if EB = 5

and EP = 5.83.

E F

G

CB

A

P

271) CS = 4 and CP = 4.47.

Find PS.

C

D

E

R

S

T

P

272) Find UP if PC = 4

and UB = 5.

UT

S

A

B

C

P

-44-

273) Find XP if PE = 2

and XF = 4.58.

XY

Z

G

F

E

P

274) PR = 2 and FR = 6.

Find FP.

FG

H

Q R

S

P

275) PY = 2 and BY = 3.46.

Find BP.

B C

D

X

Y

Z

P

276) Find UX if PX = 3.32

and UP = 6.

U

TS W

XY

P

277) PW = 2 and BW = 4.

Find BP.

B

CD V

W

XP

278) Find QP if PG = 3

and QG = 5.2.

Q

R

S

H

G

F

P

279) GC = 1 and GP = 2.24.

Find PB.

G

F

E

B

C

DP

280) PS = 4 and XP = 6.

Find XS.

XY

Z

RS

T

P

281) Find PX if FX = 5

and FP = 7.

F

G HY

X

W

P

282) Find AP if PV = 3

and AV = 5.

A B

C

W

V

U

P

-45-

283) PW = 2 and QP = 9.

Find QW.

Q

R

S

V

W

X

P

284) SG = 7 and SP = 8.

Find PG.

S

T

U

H

G

FP

285) Find BP if PS = 2.24

and BS = 2.

B

C

D

T

S

R

P

286) SW = 1 and SP = 1.41.

Find PX.

S R

Q

V

W

X

P

287) PU = 1 and BP = 8.

Find BU.

BC

D

T

U

V

P

288) PW = 2 and FP = 8.

Find FX.

F

G HY

XW P

289) Find BW if PX = 3

and BP = 6.

BC

D

VW

X

P

290) Find PD if ZE = 6.32

and ZP = 7.

Z

Y

X

D

E

FP

291) PD = 1.73 and TC = 1.

Find TP.

T

S RB

CD

P

292) Find VP if PF = 3

and VF = 3.

V

WX E

F G

P

-46-

293) PD = 1 and VD = 7.

Find VP.

V

W

X

E

D

C

P

294) Find ZS if PS = 3

and ZP = 8.

Z

Y

X

R

S

T

P

295) Find VP if PC = 1

and VC = 8.94.

V

U

T

B

C

D

P

296) Find AG if PG = 2

and AP = 7.28.

A

B

C

H

G

F

P

297) PX = 1 and DP = 5.1.

Find DX.

D

EF W

X

YP

298) PV = 2 and XP = 4.47.

Find XV.

X

YZ U

V

W

P

299) Find XP if PC = 2

and XB = 5.66.

X Y

Z

AB

C

P

300) Find WG if PG = 3

and WP = 7.62.

W

V UH

GF P

301) PB = 1 and WB = 1.

Find WP.

WX

Y

A

B

C

P

302) SX = 3 and SP = 4.

Find PX.

S

T

U

W

X

Y

P

-47-

303) Find PD if UD = 5

and UP = 6.

U

V

W

C

D

E

P


and DP = 6.

D

EF T

S

RP

305) Find PB if UB = 7

and UP = 8.

U V

W

AB

C

P

306) Find PX if EX = 4

and EP = 5.

EF

G

YX

W

P

307) AX = 4.58 and AP = 5.

Find PW.

A

BC Y

X

W

P

308) PB = 2 and SP = 3.

Find SB.

S T

U

CB

A

P

309) Find QP if PF = 5

and QE = 12.

Q

R SD

E

FP

310) TE = 12 and TP = 13.

Find PE.

T

U

V

D

E

F

P

-48-

311) PX = 1 and BX = 2.

Find BP.

BC

D

W X

Y

P

312) Find QP if PE = 3

and QD = 3.

Q

R

S

C

D

EP

313) Find UP if PD = 2

and UE = 2.

U

V

W

D

E

FP

314) Find TX if PW = 3

and TP = 5.

TS

R

Y X

W

P

315) PG = 6 and SG = 8.

Find SP.

S

T

U

F

G

HP

316) Find XS if PS = 1

and XP = 5.

XW

V

T

S

R

P

317) Find PE if SD = 8

and SP = 10.

S T

U

ED

C

P

318) EW = 2 and EP = 3.

Find PW.

E

FG X

WV

P


and BV = 4.

B C

D

UV

W

P

320) PG = 2 and XP = 7.

Find XF.

X

Y

Z

E

F

G

P

-49-

321) Find XB if PC = 1

and XP = 3.

X

Y

Z

A

B

CP

322) Find WE if PF = 1

and WP = 6.

W X

YDE

F

P

323) PS = 5 and BP = 13.

Find BS.

B

C

D

R

S

T

P

324) Find PY if HY = 3

and HP = 3.61.

H

G FX

YZ

P

325) PE = 9 and AP = 15.

Find AE.

AB

C

FE

D

P

326) PB = 2 and QP = 5.39.

Find QB.

Q

R

S

C

B

A

P

327) Find CP if PU = 4

and CU = 5.

CD

E

TU

V

P

328) PG = 9 and UF = 12.

Find UP.

U

T

S

E

F

G P

-50-

329) PD = 1 and XD = 6.

Find XP.

X

Y ZC

D

E P

330) Find PE if TE = 3

and TP = 3.16.

T

UV D

E FP

331) Find ZP if PS = 2

and ZR = 4.

Z

Y

X

Q

R

S

P

332) PS = 1 and UP = 7.

Find US.

U V

W

R

S

T

P


and WP = 10.

WX

Y

C

B

A

P

334) EX = 6 and EP = 7.

Find PX.

E

D

C

W

X

Y

P

335) PF = 1 and WP = 4.

Find WF.

WX

Y

E

F

G

P

336) Find GY if PY = 2

and GP = 3.61.

G

F

E

Z

Y

X

P

337) Find DR if PR = 3

and DP = 7.62.

D

EF Q

RS

P

338) Find PW if BW = 3

and BP = 5.

B C

D

X

W

V

P

-51-

339) PT = 3 and AP = 6.

Find AT.

A

BC U

T

S

P

340) Find DP if PU = 5

and DU = 4.

D

EF T

U V

P

341) Find DP if PT = 2

and DT = 3.

D

C

B

U

T

SP

342) PE = 2 and UP = 2.83.

Find UD.

U

T

S

C

D

EP

343) RC = 7.42 and RP = 8.

Find PC.

R

S

T

B

C

D

P

344) Find RF if PF = 2

and RP = 7.28.

RS

T

E

F

G

P

345) PX = 1 and FP = 2.

Find FX.

F

G

H

W

X

YP

346) GS = 5.92 and GP = 6.

Find PS.

G

FE R

S

TP

347) PG = 2 and QG = 7.75.

Find QP.

Q R

S

HG

F

P

348) PZ = 2.24 and BP = 3.

Find BY.

B

C

D

X

Y

ZP

-52-

349) PC = 3 and TP = 4.

Find TC.

T

U

V

B

C

D

P

350) PC = 2 and WP = 9.

Find WD.

W

V

U

E

D

C

P

351) PG = 4 and VG = 3.

Find VP.

V

WX H

GF

P

352) Find TP if PC = 1

and TC = 3.

TU

V

D

C

B

P

353) PU = 3 and ZU = 6.

Find ZP.

ZY

X

TU

V

P

354) EW = 1 and EP = 2.24.

Find PV.

E

D

C

V

W

XP

355) PT = 1 and CP = 8.

Find CT.

C

D ES

TU P

356) PT = 2 and DT = 3.46.

Find DP.

D

EF U

T

SP

-53-

357) PV = 4 and AV = 6.

Find AP.

A

B CU

VW

P

358) PC = 3.32 and EP = 6.

Find EC.

EF

G

BC

D

P

359) PX = 2 and BX = 5.

Find BP.

B

CD W

X

YP

360) UY = 2 and UP = 4.

Find PY.

U

V WZ

YX

P

361) TG = 4 and TP = 4.47.

Find PH.

T

U

V

H

G

F

P

362) WC = 4.9 and WP = 5.

Find PB.

W

X YD

C

B P


and UP = 4.

U

T

S

E

D

C

P

364) PX = 2 and FP = 5.

Find FY.

F

G

H

X

Y

Z

P

365) Find DP if PV = 1

and DU = 5.

D E

F

TU

V

P

366) PW = 3.87 and CV = 7.

Find CP.

CB

A

UV

W

P

-54-


and DU = 5.

D

CB T

UV

P

368) Find HP if PY = 2.24

and HY = 2.

HG

F

XY

Z

P

369) PU = 2 and XP = 4.

Find XU.

X

Y

Z

T

U

VP

370) Find PB if SB = 12

and SP = 15.

S

RQ C

B A

P

371) Find SC if PC = 1

and SP = 3.16.

S

T

U

D

C

B

P

372) UE = 5 and UP = 7.07.

Find PE.

U

VW D

E

F

P

373) Find PU if DU = 1

and DP = 2.

DE

FT

U

V

P

374) PV = 2 and QP = 8.

Find QV.

Q

R

S

U

V

W

P


and SP = 1.41.

S

R

Q

C

D

EP

376) Find PW if CW = 6.93

and CP = 8.

C

B

A

X

W

VP

-55-

377) Find SP if PV = 1

and SV = 1.73.

SR

Q

U

V

W

P

378) PB = 3.87 and QP = 8.

Find QB.

Q

R

S

C

B

A

P

379) Find PC if RC = 1

and RP = 1.41.

R

ST B

C D

P

380) Find PX if SX = 5

and SP = 5.83.

S

TU W

X

YP


and SP = 7.

S

R

Q

C

D

E

P

382) PF = 3 and XF = 4.

Find XP.

X Y

Z

EF

G

P

383) Find PT if CT = 6.71

and CP = 7.

C

DE U

T SP

384) PE = 2.65 and XE = 3.

Find XP.

X

YZ D

E FP

385) ER = 2 and EP = 2.83.

Find PR.

EF

G

Q

R

S

P

386) FB = 3.46 and FP = 4.

Find PB.

FG

H

A B

C

P

-56-

387) PV = 3.32 and EU = 5.

Find EP.

E

FG T

UVP

388) AT = 8.77 and AP = 9.

Find PT.

A

B

C

S

T

U

P


and DP = 4.12.

D E

F

X

W

V

P

390) RB = 5 and RP = 7.

Find PA.

R

S TA

BC

P

391) Find PT if BT = 2.83

and BP = 3.

BC

D

S

T

U

P


and CP = 6.

C D

E

U

V

W

P

393) Find PG if BG = 5

and BP = 8.

B

C

D

F

G

H

P

394) PG = 4 and CG = 7.

Find CP.

CD

E

H G

F

P

-57-

395) PW = 2 and TW = 7.

Find TP.

T S

R

V

W

X

P

396) CY = 7 and CP = 7.28.

Find PX.

CB

A

Z

Y

X

P

397) PU = 1.73 and FT = 1.

Find FP.

F E

D

ST

U

P

398) Find ZD if PC = 1

and ZP = 2.24.

Z

Y XC

DE

P

399) PE = 4 and VD = 4.

Find VP.

V

W

X

E

D

C P

400) Find PT if DT = 1

and DP = 3.

DE

F

S

T

U

P

401) Find BP if PT = 2

and BT = 5.

B

C

D

S

T

U

P

402) Find DP if PG = 20

and DG = 21.

D C

B

H

G

F

P

403) CF = 36 and CP = 45.

Find PF.

C

B

A

E

F

G

P

404) Find ER if PR = 4

and EP = 7.

E

FGQ

R

SP

-58-

405) Find CP if PT = 4

and CU = 11.

C

D

E

V

U

T

P

406) Find TP if PW = 12

and TW = 35.

T

S RX

W

V

P

407) PT = 1 and XT = 1.

Find XP.

X

YZ S

T U

P

408) Find PB if VB = 4

and VP = 5.

V

UT C

B

A

P

409) Find PR if VR = 35

and VP = 37.

V

U

T

Q

R

S

P

410) Find AF if PG = 1

and AP = 7.

A

B CG

FE

P

411) PT = 8 and VP = 17.

Find VT.

V W

X

U

T

S

P

412) XU = 9 and XP = 10.

Find PU.

X

YZ V

U

TP

-59-

413) FV = 7 and FP = 8.

Find PV.

F

GH W

V

UP

414) AY = 2.24 and AP = 3.

Find PX.

A

B CX

Y

Z

P

415) RW = 2 and RP = 3.

Find PW.

R

ST V

W

X

P

416) Find TP if PY = 1

and TY = 2.

T U

V

XY

Z

P

417) PT = 2.65 and DP = 4.

Find DT.

D E

F

ST

U

P

418) Find PF if WF = 3

and WP = 4.

W

X

Y

G

F

EP

419) Find YP if PD = 1

and YD = 6.

Y

X WE

D

CP

420) Find WD if PD = 1

and WP = 2.

WX

Y

CD

E

P

421) QV = 40 and QP = 41.

Find PV.

Q

R

S

U

V

W

P

-60-

422) PU = 1 and XV = 4.

Find XP.

X

YZ U

V

W

P

423) Find HP if PV = 1

and HV = 7.

H

G

F

U

V

W

P

424) Find UP if PF = 30

and UF = 40.

U V

W

G

F

E

P

425) Find YE if PF = 1

and YP = 3.

Y X

W

DE

F

P

426) Find GP if PR = 3

and GR = 8.

G

F

E

Q

R

S

P

427) PZ = 2 and EY = 2.

Find EP.

E F

G

XY

Z

P

428) Find FW if PW = 1

and FP = 4.

F

GH X

W

V

P

429) Find AR if PS = 15

and AP = 39.

AB

C

QR

S

P

430) PC = 2 and TP = 6.

Find TB.

T

U

V

C

B

A

P

431) PH = 7 and XP = 13.89.

Find XG.

XW

V

F

G

H

P

-61-

432) HV = 30 and HP = 34.

Find PU.

H

G

F

U

V

W

P

433) XS = 7 and XP = 10.

Find PR.

XY

Z

R

S

T

P

434) PS = 1 and ET = 3.

Find EP.

E

D

C

U

T

SP

435) Find PD if CE = 4.9

and CP = 5.

CB

A

F

E

D

P

436) Find WT if PU = 7

and WP = 25.

W

X

Y

S

T

U

P

437) TC = 5 and TP = 6.

Find PD.

T U

V

BC

D

P

438) PT = 3 and EP = 7.

Find ET.

E

FG U

TSP

439) AF = 21 and AP = 29.

Find PF.

A

B

C

E

F

G

P

440) Find DG if PG = 2

and DP = 4.

D

C

B

F

G

H P

441) Find CP if PS = 27

and CS = 36.

C

B

A

R

S

T P

-62-

442) PC = 1 and XC = 2.83.

Find XP.

X

Y ZB

CD

P

443) Find EY if PY = 10

and EP = 26.

E

D

C

X

Y

Z

P

444) Find XP if PU = 3

and XT = 11.

X

WV S

T

UP

445) Find YP if PT = 16

and YT = 30.

YX

W

U T

S

P

446) PC = 1.73 and TC = 1.

Find TP.

T

S RB

C

D

P

447) Find WP if PC = 24

and WD = 32.

WV

U

C

D

E

P

448) Find UP if PB = 4

and UB = 7.

U

V

W

A

B

C

P

449) Find HS if PS = 2

and HP = 10.

H G

F

RS

T

P

450) PT = 2.24 and FP = 3.

Find FT.

F

G

H

U

T

SP

451) Find AP if PR = 4

and AR = 13.

A

BC Q

R

SP

-63-

452) Find DP if PR = 6.32

and DR = 9.

D

E

F

Q

R

S

P

453) PU = 3 and WP = 5.

Find WU.

W X

Y

TU

V

P

454) PX = 2 and EX = 9.

Find EP.

E

F

G

W

X

Y

P

455) Find ZG if PG = 30

and ZP = 50.

Z

Y

X

F

G

H

P

456) Find CS if PS = 2

and CP = 3.

C D

E

R

S

T

P

457) Find XP if PR = 5

and XR = 12.

X

Y ZQ

R

S P

458) Find XE if PE = 3.87

and XP = 8.

XW

V

DE

F

P

459) DS = 2.83 and DP = 3.

Find PS.

D

E

F

T

S

R

P


and WP = 7.

W

X

Y

E

F

GP

461) PF = 21 and AF = 28.

Find AP.

A

BC E

F

G

P

-64-

462) DY = 12 and DP = 13.

Find PY.

DE

F

X Y

Z

P

463) PV = 5 and AV = 7.

Find AP.

AB

C

U V

W

P

464) PD = 3 and TP = 8.

Find TE.

T

U

V

D

E

F

P

465) Find QV if PW = 5

and QP = 13.

QR

S

U

V

W

P

466) Find PB if XC = 10

and XP = 13.

XY

Z

B C

D

P


and AS = 5.

A

B CR

ST

P


and SV = 4.58.

S

RQ U

VW

P

469) PF = 4.9 and UP = 7.

Find UE.

U

V WD

EF

P

-65-

470) XS = 6 and XP = 8.

Find PT.

XW

V

R

S

T

P

471) PB = 2 and VP = 8.

Find VB.

V

U

T

A

B

C

P

472) Find PC if SC = 13

and SP = 14.76.

SR

Q

D C

B

P

473) TC = 5 and TP = 7.

Find PC.

T

S

R

D

C

BP

474) Find PG if SG = 15

and SP = 16.

S

T

U

F

G

H

P

475) PR = 4 and XR = 6.

Find XP.

X

Y

Z

Q

R

S P

476) Find PX if AX = 9

and AP = 11.

A B

CW

X

Y

P

477) PT = 1 and ET = 5.

Find EP.

E

D

C

U

T

S

P

478) PT = 3 and AT = 12.

Find AP.

A

BC S

T

UP

479) BY = 7 and BP = 9.22.

Find PY.

B

C DZ

YX

P

-66-

480) Find DP if PX = 8

and DX = 15.

D

E FY

XW

P

481) PV = 2.24 and SV = 2.

Find SP.

S

RQ W

VU

P

482) PF = 7 and TP = 13.04.

Find TF.

T

SR G

F

E

P

483) Find CP if PE = 2

and CE = 3.

C

B AF

ED

P

484) PU = 3 and EU = 13.67.

Find EP.

E

F

G

V

U

T

P

485) Find AP if PF = 2

and AF = 6.

A

BC G

F

EP

486) Find VR if PR = 4

and VP = 13.

VW

X

Q R

S

P

487) PV = 5 and QP = 9.

Find QV.

Q

R

S

U

V

W

P


and XP = 10.44.

X

WV A

B

C

P

489) PG = 6 and XG = 10.

Find XP.

X

Y ZF

G

H

P

-67-

490) Find UP if PV = 1

and UW = 4.9.

U

T

S

V

W

X

P

491) PR = 5 and HR = 10.

Find HP.

H G

F

QR

S

P

492) CR = 24 and CP = 30.

Find PR.

C

D

E

Q

R

S

P

493) VG = 5.74 and VP = 7.

Find PF.

V

W XH

G

F

P

494) Find PE if SE = 3

and SP = 4.24.

ST

U

D

E

F

P

495) Find PB if WB = 24

and WP = 26.

W

XY C

B AP

496) PE = 5 and XP = 12.

Find XE.

X

Y

Z

D

E

F

P

497) PD = 4 and VP = 10.

Find VC.

V

W

X

B

C

D

P

498) Find QP if PV = 3.32

and QV = 5.

Q

RS U

VWP


and CU = 6.

C

D

E

T

U

V

P

-68-

MATHEMANIA.COM

Properties of triangles - Line segment in angle bisectors

Find a line segment:

1) PR = 5. Find PQ.

V

W

X

Q

R

SP

5

2) Find PW if PX = 90.

U T

S

YX

W

P

90


VW

X

FG

H

P

17

4) Find PH if PG = 88.

U

T

S

F

G

HP

88

-1-

5) Find PT if PU = 91.

D

C

B

T

U

V

P

91

6) PB = 99. Find PC.

Z

Y

X

C

B

AP

99

7) PV = 57. Find PW.

G

F

E

U

V

W

P

57

8) Find PY if PX = 64.

B

C

D

W

X

Y

P

64

-2-

9) PG = 8. Find PH.

C

DE H

G

FP

8

10) PW = 16. Find PX.

FG

H

V W

X

P

16

11) Find PZ if PY = 23.

U

V

W

X

Y

Z

P

23

12) Find PB if PC = 84.

S

T

U

D

C

B P

84

-3-

13) Find PX if PW = 43.

DE

F

V

W

X

P

43

14) PR = 49. Find PS.

W

V US

R

Q P

49

15) PY = 80. Find PX.

C

D EX

YZP

80

16) Find PF if PE = 18.

U

T SF

ED

P

18

-4-

17) PG = 69. Find PF.

T

UV H

G

FP

69

18) Find PT if PS = 98.

UV

W

TS

R

P

98


Z

Y

X

T

S

RP

20

20) PY = 73. Find PX.

CD

E

X

Y

Z

P

73

-5-

21) Find PD if PE = 67.

T

SR F

E

DP

67

22) PE = 29. Find PF.

T

UV D

E

FP

29

23) PT = 12. Find PS.

B

C

D

U

T

SP

12

24) Find PS if PR = 15.

V

W

X

Q

R

SP

15

-6-

25) Find PU if PV = 85.

C

D

E

U

V

W P

85

26) Find PD if PC = 39.

E

F GB

C

D P

39


T S

R

D

E

F

P

9

28) PS = 83. Find PR.

W X

Y

T

S

R

P

83

-7-

29) PD = 60. Find PE.

U V

W

C

D

E

P

60


TS

R

D

E

F

P

82

31) PB = 52. Find PA.

UV

W

C

B

A

P

52

32) PD = 74. Find PE.

ST

U

C

D

E

P

74

-8-

33) PU = 28. Find PT.

Q

RS V

UT

P

28


T

U VD

EF

P

33

35) PE = 70. Find PF.

W

X

Y

D

E

F

P

70


E

F GA

B

C P

24

-9-

37) PV = 11. Find PW.

C

B AW

VU P

11


B

C

D

H

G

FP

62

39) Find PV if PW = 61.

CB

A

V

W

X

P

61


W

VU B

C

DP

76

-10-

41) PF = 81. Find PG.

W

VU E

FG

P

81

42) PB = 3. Find PC.

V U

T

CB

A

P

3

43) Find PS if PR = 47.

Z

Y

X

Q

R

S

P

47

44) PS = 32. Find PR.

W

XY R

ST

P

32

-11-

45) PX = 72. Find PW.

D C

B

W

X

Y

P

72

46) Find PC if PB = 94.

XW

V

A

B

C

P

94

47) PR = 26. Find PS.

Y

X

W

Q

R

S

P

26

48) Find PZ if PY = 44.

T

SR X

YZ

P

44

-12-


FG

H

TS

R

P

34

50) PT = 75. Find PU.

W

X YS

TU

P

75


D

E

F

S

T

U P

54

52) PU = 65. Find PT.

G

F EV

U

T

P

65

-13-


R

S

T

D

C

BP

19

54) Find PW if PV = 40.

XY

Z

U

V

W

P

40

55) PU = 68. Find PV.

D C

B

T

U

V

P

68


ST

U

D

E

F

P

6

-14-

57) PF = 86. Find PG.

U

VW E

F

GP

86

58) PR = 13. Find PS.

V

W

X

Q

R

S

P

13

59) PV = 7. Find PU.

FG

H

W

V

U

P

7

60) PY = 78. Find PX.

D

E FZ

YX

P

78

-15-

61) Find PQ if PR = 50.

T

U

V

Q

R

S

P

50

62) PW = 37. Find PV.

CD

E

V

W

X

P

37

63) Find PG if PF = 51.

U

T

S

E

F

G

P

51

64) PV = 71. Find PW.

ZY

X

UV

W

P

71

-16-

65) PU = 1. Find PV.

Z

Y XT

UV P

1

66) PR = 46. Find PS.

EF

G

SR

Q

P

46


Q

RS D

EF

P

10


C

B

A

V

W

X

P

100

-17-


C D

E

HG

F

P

53

70) PR = 97. Find PS.

FG

H

Q R

S

P

97

71) PC = 41. Find PD.

Q

R SB

C

DP

41

72) Find PS if PT = 48.

E

F

G

S

T

U

P

48

-18-

73) PU = 87. Find PV.

D

E

F

T

U

V

P

87


T

U

V

A

B

C P

63

75) PR = 89. Find PS.

V

UTQ

R

SP

89


WX

Y

ST

U

P

42

-19-

77) PB = 21. Find PC.

DE

F

AB

C

P

21


D

E

F

V

W

XP

79

79) PX = 56. Find PW.

F

G HY

XW

P

56


CD

E

U

T

S

P

2

-20-

81) PV = 95. Find PW.

X Y

Z

UV

W

P

95

82) Find PQ if PR = 25.

D

C

B

Q

R

SP

25

83) PW = 14. Find PX.

A

BC X

W

V

P

14

84) PE = 38. Find PD.

W

X

Y

D

E

FP

38

-21-

85) Find PC if PD = 59.

S

TU C

DE

P

59

86) Find PW if PV = 31.

F

E

D

U

V

WP

31

87) Find PX if PW = 55.

QR

S

X

W

V

P

55

88) Find PE if PF = 77.

Q

R

S

E

F

GP

77

-22-

89) Find PG if PF = 35.

Q

R

S

G

F

E

P

35

90) PT = 45. Find PS.

F

ED S

T U

P

45

91) PD = 4. Find PC.

XW

V

C

D

E

P

4

92) Find PE if PD = 30.

F

GH E

D

CP

30

-23-

93) Find PU if PV = 27.

A

B

C

U

V

WP

27

94) Find PY if PX = 93.

FG

H

Y

X

W

P

93

95) Find PH if PG = 36.

W

X

Y

F

G

H

P

36

96) PY = 96. Find PZ.

D

E

F

Z

Y

XP

96

-24-

97) PD = 58. Find PE.

V

W XC

D

EP

58


R

S

T

H

G

F

P

66


Z Y

X

RS

T

P

92

100) PS = 22. Find PR.

AB

C

R S

T

P

22

-25-

101) Find UC if PB = 3

and UP = 5.

U

V

W

B

C

D

P

4

102) Find PX if GX = 4

and GP = 5.

G

F

E

W

X

Y

P

3

103) PC = 2 and XP = 4.

Find XC.

XY

Z

BC

D

P

3.46

104) PD = 1 and QP = 4.

Find QD.

Q

R

S

E

D

C

P

3.87

105) PX = 2.65 and EP = 4.

Find EY.

E F

GZ

Y

X

P

3

106) PE = 2.24 and VP = 3.

Find VF.

VW

X

E F

G

P

2

107) Find SP if PD = 1

and SD = 3.

S

R QC

DE P

3.16

108) Find PE if TD = 3

and TP = 4.

T

U

V

C

D

E P

2.65

109) Find RP if PB = 3

and RB = 4.

R

S

T

A

B

C P

5

110) Find XR if PR = 1

and XP = 3.16.

XY

Z

QR

S

P

3

-26-

111) PU = 3 and DV = 3.

Find DP.

D

E

F

W

V

UP

4.24

112) Find DV if PV = 1

and DP = 3.

D

E

F

U

V

WP

2.83

113) Find BG if PH = 2

and BP = 2.83.

B

CD F

GH

P

2


and UP = 6.

U V

W

E

F

G

P

3.32

115) SF = 2 and SP = 3.

Find PG.

ST

U

G F

E

P

2.24


and CT = 2.83.

CD

E

S T

U

P

3

117) PR = 1 and CR = 4.

Find CP.

C

B AQ

RS P

4.12

118) Find UF if PF = 2

and UP = 5.

U

V

W

E

F

G P

4.58

119) PX = 2 and EP = 3.

Find EX.

EF

G

WX

Y

P

2.24

120) Find BP if PX = 3.61

and BX = 6.

B

C

D

W

X

Y

P

7

-27-

121) PE = 1 and RE = 2.

Find RP.

R

S

T

D

E

FP

2.24

122) PB = 1 and UB = 1.73.

Find UP.

U

VW A

B

CP

2

123) Find PT if AT = 3.87

and AP = 4.

AB

C

ST

U

P

1.01

124) PU = 3.32 and CP = 6.

Find CU.

CB

A

TU

V

P

5

125) Find SP if PY = 2

and SY = 3.

S

T UZ

Y

X P

3.61

126) PB = 2 and SP = 3.61.

Find SB.

S

T UA

B

CP

3.01

127) Find PY if EY = 6

and EP = 7.

E

D CX

YZ P

3.61

128) Find TP if PF = 1

and TG = 1.

T

U

V

F

G

H P

1.41

129) PR = 2 and ER = 4.

Find EP.

E

FGQ

R

SP

4.47

130) PV = 2 and DU = 2.

Find DP.

D

E

F

T

U

V P

2.83

-28-

131) Find BR if PR = 3.61

and BP = 7.

B

C

D

Q

R

S

P

6

132) Find DF if PG = 1

and DP = 2.

D

C

B

G

F

E P

1.73

133) PW = 3.32 and FV = 5.

Find FP.

F

G

H

U

V

W

P

6

134) Find BP if PX = 1

and BX = 6.

B

C DW

X

Y P

6.08

135) HB = 2 and HP = 4.

Find PB.

H

G

F

A

B

CP

3.46

136) FU = 2.24 and FP = 3.

Find PV.

F

G

H

T

U

V

P

2

137) PA = 1 and ZP = 5.

Find ZB.

Z

Y

X

A

B

C

P

4.9

138) VR = 1 and VP = 2.

Find PS.

V

U

T

Q

R

S P

1.73

-29-


and QE = 5.

Q

R

S

D

E

F

P

5.1

140) PE = 3 and VP = 6.

Find VE.

VW

X

D E

F

P

5.2


and RP = 4.

R S

T

W

V

U

P

2.65

142) BW = 4 and BP = 6.

Find PV.

B

C DX

WV

P

4.47


and DX = 5.

D

E

F

Y

X

W

P

5.39

144) PR = 2 and GP = 7.

Find GR.

G

F

E

S

R

Q

P

6.71

145) PD = 2 and RD = 2.24.

Find RP.

RS

T

C

D

E

P

3

146) EY = 6 and EP = 6.08.

Find PY.

EF

G

X

Y

Z

P

0.98

147) PU = 2 and FV = 6.

Find FP.

F

G

H

U

V

W

P

6.32

148) Find ZP if PC = 1

and ZC = 4.9.

Z

YX B

CDP

5

-30-

149) Find VY if PY = 1

and VP = 6.

VU

T

X

Y

Z

P

5.92

150) Find RB if PB = 4

and RP = 5.

R

ST C

B A

P

3

151) PY = 1 and EP = 2.24.

Find EY.

E

F

G

X

Y

Z P

2

152) PX = 2.24 and DX = 2.

Find DP.

D

E

F

W

X

Y

P

3

153) PS = 2.65 and ES = 3.

Find EP.

E

F

G

T

S

R

P

4

154) PW = 2 and RX = 4.58.

Find RP.

R

S

T

W

X

Y

P

5

155) Find PC if EC = 2

and EP = 2.24.

E

F

G

B

C

D P

1.01

156) FR = 5.66 and FP = 6.

Find PR.

F E

D

QR

S

P

1.99

157) Find AP if PW = 3

and AV = 5.

A

BC U

V

W

P

5.83

-31-


and DP = 5.1.

D

CB R

S TP

5

159) QF = 3 and QP = 3.16.

Find PG.

Q R

S

GF

E

P

0.99


and WP = 4.12.

W

X

Y

C

B

A

P

4

161) Find PC if VC = 3.46

and VP = 4.

V

WX B

C DP

2.01

162) Find PY if BY = 2

and BP = 2.83.

B

C DX

YZ

P

2

163) PW = 3 and SX = 2.

Find SP.

S

R

Q

W

X

YP

3.61

164) ES = 3 and EP = 5.

Find PS.

E

FG R

S T

P

4

165) Find DT if PT = 2

and DP = 6.

D

E

F

S

T

U

P

5.66

166) SG = 2.83 and SP = 3.

Find PG.

S

TU F

G HP

1


and CP = 3.61.

C

D

E

U

V

WP

2.01

-32-

168) Find SW if PW = 4

and SP = 6.

S

RQ X

W V

P

4.47

169) AY = 3 and AP = 4.24.

Find PZ.

A B

C

XY

Z

P

3

170) Find RX if PX = 1.73

and RP = 2.

RS

T

Y

X

W

P

1

171) PC = 2 and SP = 4.47.

Find SC.

S

R QB

CD

P

4

172) PE = 1.73 and WE = 1.

Find WP.

W

X

Y

D

E

FP

2

173) Find PF if WE = 2.65

and WP = 4.

W

X

Y

D

E

FP

3

174) TB = 5 and TP = 5.83.

Find PB.

T

UV A

B

CP

3

175) Find PB if WC = 5

and WP = 5.1.

W

XY B

CDP

1

-33-

176) Find PE if VE = 1.73

and VP = 2.

V

W

X

D

E

F

P

1

177) Find PU if ET = 5.92

and EP = 6.

E

D CS

T

UP

0.98

178) Find PG if QG = 1

and QP = 3.

Q

R

S

H

G

FP

2.83

179) Find SP if PF = 4

and SF = 4.

S

R QE

FG

P

5.66

180) PF = 1 and TP = 7.

Find TE.

T

UV D

E FP

6.93

181) Find TP if PR = 1

and TR = 3.87.

T

UVQ

R

SP

4

182) DW = 1 and DP = 1.41.

Find PW.

D

C

B

V

W

X

P

0.99

183) PX = 1 and UP = 6.08.

Find UX.

U T

S

Y

X

W

P

6

-34-

184) VD = 4 and VP = 4.12.

Find PD.

V

W

X

E

D

C

P

0.99

185) Find PF if TF = 6.71

and TP = 7.

T

SR E

F

GP

1.99

186) WC = 2 and WP = 3.61.

Find PC.

WX

Y

B

C

D

P

3.01

187) Find BU if PU = 2

and BP = 5.39.

B C

D

T

U

V

P

5.01

188) PV = 3 and EP = 4.24.

Find EU.

E

FG V

UT

P

3

189) Find PC if QC = 4.9

and QP = 5.

Q

R SB

CD P

0.99

190) ZE = 4.58 and ZP = 5.

Find PE.

Z Y

X

DE

F

P

2.01

191) PT = 2 and XP = 2.24.

Find XS.

XW

V

R

S

T

P

1.01

-35-

192) PX = 4 and TX = 3.

Find TP.

TU

V

W

X

Y

P

5

193) WS = 5 and WP = 5.39.

Find PS.

WV

U

TS

R

P

2.01

194) Find FP if PW = 2

and FW = 5.66.

F

GH V

W XP

6


and UP = 4.47.

U

V WE

F

GP

2

196) PS = 1 and DS = 5.92.

Find DP.

D

EF R

STP

6


and HB = 4.47.

H

G

F

C

B

A P

6

198) Find QE if PE = 4

and QP = 5.66.

Q

R

S

F

E

D

P

4

199) Find DP if PB = 1

and DB = 6.93.

D

E FA

BC P

7

-36-

200) PV = 2.83 and EV = 1.

Find EP.

E

FG W

V U

P

3

201) PX = 1 and VP = 3.

Find VX.

VU

T

YX

W

P

2.83


and SP = 2.83.

S

TU C

D E

P

2


and BU = 1.

B

CD V

U T

P

1.41

204) Find BP if PZ = 2

and BY = 2.

B

C

D

X

Y

ZP

2.83

205) PV = 6 and QV = 8.

Find QP.

QR

S

W

V

U

P

10

206) Find PX if UY = 4

and UP = 5.

UT

SZ

Y

X

P

3

207) PB = 1 and VB = 2.

Find VP.

VW

X

CB

A

P

2.24


and HB = 3.

H

G

F

C

B

AP

3.61

209) PV = 3 and DP = 5.

Find DV.

D

C BU

VW

P

4

-37-

210) Find PG if TG = 2

and TP = 3.

T U

V

FG

H

P

2.24

211) Find HB if PB = 3

and HP = 6.71.

H

G

F

C

B

AP

6

212) PC = 1 and UC = 6.

Find UP.

UV

W

D

C

B

P

6.08

213) PC = 1 and XP = 4.

Find XB.

X

Y

Z

A

B

C

P

3.87

214) PS = 6 and CP = 10.

Find CS.

C

D

E

T

S

R P

8

215) Find PG if CG = 8

and CP = 9.

C

D

E

F

G

H

P

4.12

216) Find WR if PR = 1

and WP = 2.

W

V

U

Q

R

S P

1.73

217) PS = 1 and ET = 4.

Find EP.

E

F

G

S

T

U

P

4.12

218) Find HP if PX = 2

and HX = 5.

H

GF Y

X

WP

5.39

-38-

219) Find FS if PS = 2

and FP = 5.

F

E

D

R

S

TP

4.58

220) Find HP if PC = 4

and HB = 6.

H

G

F

A

B

CP

7.21

221) PX = 1 and SX = 3.

Find SP.

S

T

U

W

X

Y

P

3.16

222) PQ = 3 and DR = 4.

Find DP.

D E

F

QR

S

P

5


and CP = 6.

C

B

A

W

V

U

P

3.32

224) PV = 4 and DV = 4.

Find DP.

D E

F

UV

W

P

5.66

225) Find WD if PC = 2.24

and WP = 3.

WX

Y

ED

C

P

2

226) Find FT if PS = 2

and FP = 5.39.

F E

D

S

T

U

P

5.01

-39-

227) Find EX if PX = 2

and EP = 6.

EF

G

YX

W

P

5.66

228) PX = 2 and CP = 3.

Find CX.

C

D EW

XY

P

2.24

229) Find XB if PB = 1

and XP = 4.12.

X

Y

Z

A

B

C

P

4

230) Find PU if EU = 6

and EP = 8.

E

D CT

UV

P

5.29

231) PV = 4 and XP = 7.

Find XV.

XY

Z

U V

W

P

5.74

232) VR = 3 and VP = 4.

Find PS.

V

W

X

Q

R

S P

2.65

233) Find PH if YG = 6

and YP = 7.

Y

XW F

G H

P

3.61

234) Find PE if WE = 2

and WP = 2.83.

W

XY D

E

F

P

2

235) PG = 5 and VP = 7.

Find VF.

V

U TG

FE

P

4.9

236) Find PR if BR = 8

and BP = 10.

B

C DS

RQ

P

6

-40-

237) Find CP if PW = 3

and CV = 7.

C

D

E

W

V

U

P

7.62

238) Find BS if PR = 1

and BP = 9.

B

CD T

S

RP

8.94

239) PC = 3 and WP = 4.

Find WC.

W

X

Y

B

C

D P

2.65

240) Find PV if HV = 4

and HP = 6.

HG

F

U

V

W

P

4.47

241) PF = 2 and QG = 7.

Find QP.

Q

R

S

F

G

H

P

7.28

242) PB = 2 and TP = 7.

Find TB.

T

U

V

A

B

C

P

6.71


and UP = 2.

U

TS C

D E

P

1

244) Find ET if PS = 1

and EP = 5.

E

FG U

T

SP

4.9

-41-

245) Find TP if PD = 2

and TD = 1.

T S

R

E

D

C

P

2.24

246) PV = 5 and ZU = 5.

Find ZP.

Z

YX T

U V

P

7.07

247) Find PU if DU = 6.71

and DP = 7.

D

E

F

V

U

T

P

1.99

248) BY = 6.93 and BP = 7.

Find PY.

B

CD X

Y

ZP

0.99

249) WY = 4 and WP = 4.12.

Find PZ.

W

VU X

Y

ZP

0.99

250) Find PB if GB = 6

and GP = 6.08.

G

F

E

A

B

C

P

0.98

251) Find RP if PX = 1

and RX = 5.

R

ST W

X

YP

5.1

252) PB = 1 and UP = 6.

Find UB.

U

VW A

B CP

5.92

-42-

253) UD = 5 and UP = 5.1.

Find PC.

UV

W

C

D

E

P

1


and DP = 4.

D

E

F

X

W

V

P

3.46

255) PH = 3.61 and ZP = 7.

Find ZG.

ZY

X

FG

H

P

6

256) Find DP if PF = 1

and DF = 2.83.

D

C

B

G

F

EP

3

257) PQ = 3 and DR = 6.

Find DP.

D

E

F

Q

R

S

P

6.71

258) BT = 1 and BP = 2.

Find PT.

BC

D

ST

U

P

1.73

259) BV = 2.83 and BP = 3.

Find PU.

B

C DU

V

WP

1

260) PT = 1 and YP = 7.

Find YU.

Y

X

W

T

U

V

P

6.93


and RP = 5.

R

S TU

V

W

P

3

262) PG = 3.87 and CP = 8.

Find CG.

CD

E

F

G

H

P

7

-43-

263) DU = 2 and DP = 2.24.

Find PT.

D

E

F

T

U

V P

1.01

264) Find CG if PG = 1

and CP = 2.24.

CD

E

FG

H

P

2

265) BU = 2.24 and BP = 3.

Find PU.

B

C DV

U

T P

2

266) PS = 3.32 and ZT = 5.

Find ZP.

ZY

X

U

T

S

P

6

267) Find VP if PX = 3

and VX = 2.

V

U

T

Y

X

WP

3.61

268) PX = 5 and QX = 4.

Find QP.

Q

R SW

XY

P

6.4

269) PS = 2.65 and XP = 4.

Find XR.

X Y

Z

QR

S

P

3

270) Find PB if EB = 5

and EP = 5.83.

E F

G

CB

A

P

3

271) CS = 4 and CP = 4.47.

Find PS.

C

D

E

R

S

T

P

2

272) Find UP if PC = 4

and UB = 5.

UT

S

A

B

C

P

6.4

-44-

273) Find XP if PE = 2

and XF = 4.58.

XY

Z

G

F

E

P

5

274) PR = 2 and FR = 6.

Find FP.

FG

H

Q R

S

P

6.32

275) PY = 2 and BY = 3.46.

Find BP.

B C

D

X

Y

Z

P

4

276) Find UX if PX = 3.32

and UP = 6.

U

TS W

XY

P

5

277) PW = 2 and BW = 4.

Find BP.

B

CD V

W

XP

4.47

278) Find QP if PG = 3

and QG = 5.2.

Q

R

S

H

G

F

P

6

279) GC = 1 and GP = 2.24.

Find PB.

G

F

E

B

C

DP

2

280) PS = 4 and XP = 6.

Find XS.

XY

Z

RS

T

P

4.47

281) Find PX if FX = 5

and FP = 7.

F

G HY

X

W

P

4.9

282) Find AP if PV = 3

and AV = 5.

A B

C

W

V

U

P

5.83

-45-

283) PW = 2 and QP = 9.

Find QW.

Q

R

S

V

W

X

P

8.77

284) SG = 7 and SP = 8.

Find PG.

S

T

U

H

G

FP

3.87

285) Find BP if PS = 2.24

and BS = 2.

B

C

D

T

S

R

P

3

286) SW = 1 and SP = 1.41.

Find PX.

S R

Q

V

W

X

P

0.99

287) PU = 1 and BP = 8.

Find BU.

BC

D

T

U

V

P

7.94

288) PW = 2 and FP = 8.

Find FX.

F

G HY

XW P

7.75

289) Find BW if PX = 3

and BP = 6.

BC

D

VW

X

P

5.2

290) Find PD if ZE = 6.32

and ZP = 7.

Z

Y

X

D

E

FP

3.01

291) PD = 1.73 and TC = 1.

Find TP.

T

S RB

CD

P

2

292) Find VP if PF = 3

and VF = 3.

V

WX E

F G

P

4.24

-46-

293) PD = 1 and VD = 7.

Find VP.

V

W

X

E

D

C

P

7.07

294) Find ZS if PS = 3

and ZP = 8.

Z

Y

X

R

S

T

P

7.42

295) Find VP if PC = 1

and VC = 8.94.

V

U

T

B

C

D

P

9

296) Find AG if PG = 2

and AP = 7.28.

A

B

C

H

G

F

P

7

297) PX = 1 and DP = 5.1.

Find DX.

D

EF W

X

YP

5

298) PV = 2 and XP = 4.47.

Find XV.

X

YZ U

V

W

P

4

299) Find XP if PC = 2

and XB = 5.66.

X Y

Z

AB

C

P

6

300) Find WG if PG = 3

and WP = 7.62.

W

V UH

GF P

7

301) PB = 1 and WB = 1.

Find WP.

WX

Y

A

B

C

P

1.41

302) SX = 3 and SP = 4.

Find PX.

S

T

U

W

X

Y

P

2.65

-47-

303) Find PD if UD = 5

and UP = 6.

U

V

W

C

D

E

P

3.32


and DP = 6.

D

EF T

S

RP

5.66

305) Find PB if UB = 7

and UP = 8.

U V

W

AB

C

P

3.87

306) Find PX if EX = 4

and EP = 5.

EF

G

YX

W

P

3

307) AX = 4.58 and AP = 5.

Find PW.

A

BC Y

X

W

P

2.01

308) PB = 2 and SP = 3.

Find SB.

S T

U

CB

A

P

2.24

309) Find QP if PF = 5

and QE = 12.

Q

R SD

E

FP

13

310) TE = 12 and TP = 13.

Find PE.

T

U

V

D

E

F

P

5

-48-

311) PX = 1 and BX = 2.

Find BP.

BC

D

W X

Y

P

2.24


and QD = 3.

Q

R

S

C

D

EP

4.24

313) Find UP if PD = 2

and UE = 2.

U

V

W

D

E

FP

2.83

314) Find TX if PW = 3

and TP = 5.

TS

R

Y X

W

P

4

315) PG = 6 and SG = 8.

Find SP.

S

T

U

F

G

HP

10

316) Find XS if PS = 1

and XP = 5.

XW

V

T

S

R

P

4.9

317) Find PE if SD = 8

and SP = 10.

S T

U

ED

C

P

6

318) EW = 2 and EP = 3.

Find PW.

E

FG X

WV

P

2.24


and BV = 4.

B C

D

UV

W

P

4.12

320) PG = 2 and XP = 7.

Find XF.

X

Y

Z

E

F

G

P

6.71

-49-


and XP = 3.

X

Y

Z

A

B

CP

2.83

322) Find WE if PF = 1

and WP = 6.

W X

YDE

F

P

5.92

323) PS = 5 and BP = 13.

Find BS.

B

C

D

R

S

T

P

12

324) Find PY if HY = 3

and HP = 3.61.

H

G FX

YZ

P

2.01

325) PE = 9 and AP = 15.

Find AE.

AB

C

FE

D

P

12

326) PB = 2 and QP = 5.39.

Find QB.

Q

R

S

C

B

A

P

5.01


and CU = 5.

CD

E

TU

V

P

6.4

328) PG = 9 and UF = 12.

Find UP.

U

T

S

E

F

G P

15

-50-

329) PD = 1 and XD = 6.

Find XP.

X

Y ZC

D

E P

6.08

330) Find PE if TE = 3

and TP = 3.16.

T

UV D

E FP

0.99

331) Find ZP if PS = 2

and ZR = 4.

Z

Y

X

Q

R

S

P

4.47

332) PS = 1 and UP = 7.

Find US.

U V

W

R

S

T

P

6.93


and WP = 10.

WX

Y

C

B

A

P

8

334) EX = 6 and EP = 7.

Find PX.

E

D

C

W

X

Y

P

3.61

335) PF = 1 and WP = 4.

Find WF.

WX

Y

E

F

G

P

3.87

336) Find GY if PY = 2

and GP = 3.61.

G

F

E

Z

Y

X

P

3.01

337) Find DR if PR = 3

and DP = 7.62.

D

EF Q

RS

P

7

338) Find PW if BW = 3

and BP = 5.

B C

D

X

W

V

P

4

-51-

339) PT = 3 and AP = 6.

Find AT.

A

BC U

T

S

P

5.2

340) Find DP if PU = 5

and DU = 4.

D

EF T

U V

P

6.4


and DT = 3.

D

C

B

U

T

SP

3.61

342) PE = 2 and UP = 2.83.

Find UD.

U

T

S

C

D

EP

2

343) RC = 7.42 and RP = 8.

Find PC.

R

S

T

B

C

D

P

2.99

344) Find RF if PF = 2

and RP = 7.28.

RS

T

E

F

G

P

7

345) PX = 1 and FP = 2.

Find FX.

F

G

H

W

X

YP

1.73

346) GS = 5.92 and GP = 6.

Find PS.

G

FE R

S

TP

0.98

347) PG = 2 and QG = 7.75.

Find QP.

Q R

S

HG

F

P

8

348) PZ = 2.24 and BP = 3.

Find BY.

B

C

D

X

Y

ZP

2

-52-

349) PC = 3 and TP = 4.

Find TC.

T

U

V

B

C

D

P

2.65

350) PC = 2 and WP = 9.

Find WD.

W

V

U

E

D

C

P

8.77

351) PG = 4 and VG = 3.

Find VP.

V

WX H

GF

P

5

352) Find TP if PC = 1

and TC = 3.

TU

V

D

C

B

P

3.16

353) PU = 3 and ZU = 6.

Find ZP.

ZY

X

TU

V

P

6.71

354) EW = 1 and EP = 2.24.

Find PV.

E

D

C

V

W

XP

2

355) PT = 1 and CP = 8.

Find CT.

C

D ES

TU P

7.94

356) PT = 2 and DT = 3.46.

Find DP.

D

EF U

T

SP

4

-53-

357) PV = 4 and AV = 6.

Find AP.

A

B CU

VW

P

7.21

358) PC = 3.32 and EP = 6.

Find EC.

EF

G

BC

D

P

5

359) PX = 2 and BX = 5.

Find BP.

B

CD W

X

YP

5.39

360) UY = 2 and UP = 4.

Find PY.

U

V WZ

YX

P

3.46

361) TG = 4 and TP = 4.47.

Find PH.

T

U

V

H

G

F

P

2

362) WC = 4.9 and WP = 5.

Find PB.

W

X YD

C

B P

0.99


and UP = 4.

U

T

S

E

D

C

P

1.01

364) PX = 2 and FP = 5.

Find FY.

F

G

H

X

Y

Z

P

4.58

365) Find DP if PV = 1

and DU = 5.

D E

F

TU

V

P

5.1

366) PW = 3.87 and CV = 7.

Find CP.

CB

A

UV

W

P

8

-54-


and DU = 5.

D

CB T

UV

P

5.83

368) Find HP if PY = 2.24

and HY = 2.

HG

F

XY

Z

P

3

369) PU = 2 and XP = 4.

Find XU.

X

Y

Z

T

U

VP

3.46

370) Find PB if SB = 12

and SP = 15.

S

RQ C

B A

P

9

371) Find SC if PC = 1

and SP = 3.16.

S

T

U

D

C

B

P

3

372) UE = 5 and UP = 7.07.

Find PE.

U

VW D

E

F

P

5

373) Find PU if DU = 1

and DP = 2.

DE

FT

U

V

P

1.73

374) PV = 2 and QP = 8.

Find QV.

Q

R

S

U

V

W

P

7.75


and SP = 1.41.

S

R

Q

C

D

EP

0.99

376) Find PW if CW = 6.93

and CP = 8.

C

B

A

X

W

VP

4

-55-


and SV = 1.73.

SR

Q

U

V

W

P

2

378) PB = 3.87 and QP = 8.

Find QB.

Q

R

S

C

B

A

P

7

379) Find PC if RC = 1

and RP = 1.41.

R

ST B

C D

P

0.99

380) Find PX if SX = 5

and SP = 5.83.

S

TU W

X

YP

3


and SP = 7.

S

R

Q

C

D

E

P

6.32

382) PF = 3 and XF = 4.

Find XP.

X Y

Z

EF

G

P

5

383) Find PT if CT = 6.71

and CP = 7.

C

DE U

T SP

1.99

384) PE = 2.65 and XE = 3.

Find XP.

X

YZ D

E FP

4

385) ER = 2 and EP = 2.83.

Find PR.

EF

G

Q

R

S

P

2

386) FB = 3.46 and FP = 4.

Find PB.

FG

H

A B

C

P

2.01

-56-

387) PV = 3.32 and EU = 5.

Find EP.

E

FG T

UVP

6

388) AT = 8.77 and AP = 9.

Find PT.

A

B

C

S

T

U

P

2.02


and DP = 4.12.

D E

F

X

W

V

P

4

390) RB = 5 and RP = 7.

Find PA.

R

S TA

BC

P

4.9

391) Find PT if BT = 2.83

and BP = 3.

BC

D

S

T

U

P

1


and CP = 6.

C D

E

U

V

W

P

4.47

393) Find PG if BG = 5

and BP = 8.

B

C

D

F

G

H

P

6.24

394) PG = 4 and CG = 7.

Find CP.

CD

E

H G

F

P

8.06

-57-

395) PW = 2 and TW = 7.

Find TP.

T S

R

V

W

X

P

7.28

396) CY = 7 and CP = 7.28.

Find PX.

CB

A

Z

Y

X

P

2

397) PU = 1.73 and FT = 1.

Find FP.

F E

D

ST

U

P

2

398) Find ZD if PC = 1

and ZP = 2.24.

Z

Y XC

DE

P

2

399) PE = 4 and VD = 4.

Find VP.

V

W

X

E

D

C P

5.66

400) Find PT if DT = 1

and DP = 3.

DE

F

S

T

U

P

2.83

401) Find BP if PT = 2

and BT = 5.

B

C

D

S

T

U

P

5.39

402) Find DP if PG = 20

and DG = 21.

D C

B

H

G

F

P

29

403) CF = 36 and CP = 45.

Find PF.

C

B

A

E

F

G

P

27

404) Find ER if PR = 4

and EP = 7.

E

FGQ

R

SP

5.74

-58-


and CU = 11.

C

D

E

V

U

T

P

11.7

406) Find TP if PW = 12

and TW = 35.

T

S RX

W

V

P

37

407) PT = 1 and XT = 1.

Find XP.

X

YZ S

T U

P

1.41

408) Find PB if VB = 4

and VP = 5.

V

UT C

B

A

P

3

409) Find PR if VR = 35

and VP = 37.

V

U

T

Q

R

S

P

12

410) Find AF if PG = 1

and AP = 7.

A

B CG

FE

P

6.93

411) PT = 8 and VP = 17.

Find VT.

V W

X

U

T

S

P

15

412) XU = 9 and XP = 10.

Find PU.

X

YZ V

U

TP

4.36

-59-

413) FV = 7 and FP = 8.

Find PV.

F

GH W

V

UP

3.87

414) AY = 2.24 and AP = 3.

Find PX.

A

B CX

Y

Z

P

2

415) RW = 2 and RP = 3.

Find PW.

R

ST V

W

X

P

2.24

416) Find TP if PY = 1

and TY = 2.

T U

V

XY

Z

P

2.24

417) PT = 2.65 and DP = 4.

Find DT.

D E

F

ST

U

P

3


and WP = 4.

W

X

Y

G

F

EP

2.65

419) Find YP if PD = 1

and YD = 6.

Y

X WE

D

CP

6.08

420) Find WD if PD = 1

and WP = 2.

WX

Y

CD

E

P

1.73

421) QV = 40 and QP = 41.

Find PV.

Q

R

S

U

V

W

P

9

-60-

422) PU = 1 and XV = 4.

Find XP.

X

YZ U

V

W

P

4.12

423) Find HP if PV = 1

and HV = 7.

H

G

F

U

V

W

P

7.07

424) Find UP if PF = 30

and UF = 40.

U V

W

G

F

E

P

50

425) Find YE if PF = 1

and YP = 3.

Y X

W

DE

F

P

2.83

426) Find GP if PR = 3

and GR = 8.

G

F

E

Q

R

S

P

8.54

427) PZ = 2 and EY = 2.

Find EP.

E F

G

XY

Z

P

2.83

428) Find FW if PW = 1

and FP = 4.

F

GH X

W

V

P

3.87

429) Find AR if PS = 15

and AP = 39.

AB

C

QR

S

P

36

430) PC = 2 and TP = 6.

Find TB.

T

U

V

C

B

A

P

5.66

431) PH = 7 and XP = 13.89.

Find XG.

XW

V

F

G

H

P

12

-61-

432) HV = 30 and HP = 34.

Find PU.

H

G

F

U

V

W

P

16

433) XS = 7 and XP = 10.

Find PR.

XY

Z

R

S

T

P

7.14

434) PS = 1 and ET = 3.

Find EP.

E

D

C

U

T

SP

3.16

435) Find PD if CE = 4.9

and CP = 5.

CB

A

F

E

D

P

0.99

436) Find WT if PU = 7

and WP = 25.

W

X

Y

S

T

U

P

24

437) TC = 5 and TP = 6.

Find PD.

T U

V

BC

D

P

3.32

438) PT = 3 and EP = 7.

Find ET.

E

FG U

TSP

6.32

439) AF = 21 and AP = 29.

Find PF.

A

B

C

E

F

G

P

20

440) Find DG if PG = 2

and DP = 4.

D

C

B

F

G

H P

3.46

441) Find CP if PS = 27

and CS = 36.

C

B

A

R

S

T P

45

-62-

442) PC = 1 and XC = 2.83.

Find XP.

X

Y ZB

CD

P

3

443) Find EY if PY = 10

and EP = 26.

E

D

C

X

Y

Z

P

24

444) Find XP if PU = 3

and XT = 11.

X

WV S

T

UP

11.4

445) Find YP if PT = 16

and YT = 30.

YX

W

U T

S

P

34

446) PC = 1.73 and TC = 1.

Find TP.

T

S RB

C

D

P

2

447) Find WP if PC = 24

and WD = 32.

WV

U

C

D

E

P

40

448) Find UP if PB = 4

and UB = 7.

U

V

W

A

B

C

P

8.06

449) Find HS if PS = 2

and HP = 10.

H G

F

RS

T

P

9.8

450) PT = 2.24 and FP = 3.

Find FT.

F

G

H

U

T

SP

2


and AR = 13.

A

BC Q

R

SP

13.6

-63-

452) Find DP if PR = 6.32

and DR = 9.

D

E

F

Q

R

S

P

11

453) PU = 3 and WP = 5.

Find WU.

W X

Y

TU

V

P

4

454) PX = 2 and EX = 9.

Find EP.

E

F

G

W

X

Y

P

9.22

455) Find ZG if PG = 30

and ZP = 50.

Z

Y

X

F

G

H

P

40

456) Find CS if PS = 2

and CP = 3.

C D

E

R

S

T

P

2.24

457) Find XP if PR = 5

and XR = 12.

X

Y ZQ

R

S P

13

458) Find XE if PE = 3.87

and XP = 8.

XW

V

DE

F

P

7

459) DS = 2.83 and DP = 3.

Find PS.

D

E

F

T

S

R

P

1


and WP = 7.

W

X

Y

E

F

GP

3.61

461) PF = 21 and AF = 28.

Find AP.

A

BC E

F

G

P

35

-64-

462) DY = 12 and DP = 13.

Find PY.

DE

F

X Y

Z

P

5

463) PV = 5 and AV = 7.

Find AP.

AB

C

U V

W

P

8.6

464) PD = 3 and TP = 8.

Find TE.

T

U

V

D

E

F

P

7.42

465) Find QV if PW = 5

and QP = 13.

QR

S

U

V

W

P

12

466) Find PB if XC = 10

and XP = 13.

XY

Z

B C

D

P

8.31


and AS = 5.

A

B CR

ST

P

7.07


and SV = 4.58.

S

RQ U

VW

P

5

469) PF = 4.9 and UP = 7.

Find UE.

U

V WD

EF

P

5

-65-

470) XS = 6 and XP = 8.

Find PT.

XW

V

R

S

T

P

5.29

471) PB = 2 and VP = 8.

Find VB.

V

U

T

A

B

C

P

7.75

472) Find PC if SC = 13

and SP = 14.76.

SR

Q

D C

B

P

6.99

473) TC = 5 and TP = 7.

Find PC.

T

S

R

D

C

BP

4.9

474) Find PG if SG = 15

and SP = 16.

S

T

U

F

G

H

P

5.57

475) PR = 4 and XR = 6.

Find XP.

X

Y

Z

Q

R

S P

7.21

476) Find PX if AX = 9

and AP = 11.

A B

CW

X

Y

P

6.32

477) PT = 1 and ET = 5.

Find EP.

E

D

C

U

T

S

P

5.1

478) PT = 3 and AT = 12.

Find AP.

A

BC S

T

UP

12.37

479) BY = 7 and BP = 9.22.

Find PY.

B

C DZ

YX

P

6

-66-


and DX = 15.

D

E FY

XW

P

17

481) PV = 2.24 and SV = 2.

Find SP.

S

RQ W

VU

P

3

482) PF = 7 and TP = 13.04.

Find TF.

T

SR G

F

E

P

11

483) Find CP if PE = 2

and CE = 3.

C

B AF

ED

P

3.61

484) PU = 3 and EU = 13.67.

Find EP.

E

F

G

V

U

T

P

14

485) Find AP if PF = 2

and AF = 6.

A

BC G

F

EP

6.32

486) Find VR if PR = 4

and VP = 13.

VW

X

Q R

S

P

12.37

487) PV = 5 and QP = 9.

Find QV.

Q

R

S

U

V

W

P

7.48


and XP = 10.44.

X

WV A

B

C

P

10

489) PG = 6 and XG = 10.

Find XP.

X

Y ZF

G

H

P

11.66

-67-

490) Find UP if PV = 1

and UW = 4.9.

U

T

S

V

W

X

P

5

491) PR = 5 and HR = 10.

Find HP.

H G

F

QR

S

P

11.18

492) CR = 24 and CP = 30.

Find PR.

C

D

E

Q

R

S

P

18

493) VG = 5.74 and VP = 7.

Find PF.

V

W XH

G

F

P

4.01

494) Find PE if SE = 3

and SP = 4.24.

ST

U

D

E

F

P

3

495) Find PB if WB = 24

and WP = 26.

W

XY C

B AP

10

496) PE = 5 and XP = 12.

Find XE.

X

Y

Z

D

E

F

P

10.91

497) PD = 4 and VP = 10.

Find VC.

V

W

X

B

C

D

P

9.17

498) Find QP if PV = 3.32

and QV = 5.

Q

RS U

VWP

6


and CU = 6.

C

D

E

T

U

V

P

6.71

-68-

500) Find PF if YF = 10

and YP = 11.

Y

X WG

F

EP

4.58

-69-

properties of triangles - line segments in angle bisectors · p 202) find sd if pd = 2 and sp =...

Documents