Pythagorean Theorem Hidden Message Activity

Individual or group activity!

Self-assessing!

VERSION 1 ANSWRS ARE GIVEN IN

DECIMAL FORM

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• This activity is great for individuals or groups of 2-4.

• Each student will need a copy of page 4 and page 5.

• Make sure students solve the problems on page 5 first. They should find their answer on page 4. If not, they need to check their answer.

• After solving all of the problems on page 5, students will need to cut out the boxes and glue them on top of their solution on page 4. The message “GEOMETRY KEEPS YOU IN SHAPE” should be visible.

• The answer key is provided. I like to project it on the board and go over it after passing papers back.

• If you have any questions or concerns, please email me at mathindemand@hotmail.com.

© 2017 Math in Demand

© 2018 Math in Demand

Directions: Solve for each missing side. Glue the problems according to their solution.

Nam

e:

Date

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Perio

d:

x = 13

x = 11.5

x = 10.9

x = 11.2

x = 4

x = 25

x = 6.7

x = 24

x = 9.3

x = 8

x = 23.0

x = 28.6

x = 8.1

x = 13.9

x = 18.0

x = 12

x = 17.0

x = 7.2

x = 26.5

x = 7.9

© 2018 Math in Demand

a = 15, b = ?, c = 17

a = 9, b = ?, c = 12

a = 15, b = 20, c = ?

a = 11, b = 2, c = ?

a = ?, b = 5, c = 12

a = ?, b = 18, c = 32

a = ?, b = 7, c = 25

a = 6, b = 3, c = ?

a = 25, b = ?, c = 34

a = 6, b = 4, c = ?

a = 5, b = 12, c = ?

a = ?, b = 2, c = 14

a = ?, b = 8, c = 14

a = 12, b = ?, c = 31

Directions: First solve for each missing side then cut the boxes out. Glue them onto the other page according to their solution. Round decimals to nearest tenths.

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© 2018 Math in Demand

Answ

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a = 5, b = 12, c = ? (5)2 + (12)2 = c2

25 + 144 = c2 169 = c2 13 = c

a = ?, b = 8, c = 14 a2 + (8)2 = (14)2 a2 + 64 = 196 a2 = 196 - 64

a2 = 132 a ≈ 11.5

a = ?, b = 5, c = 12 a2 + (5)2 = (12)2 a2 + 25 = 144 a2 = 144 - 25

a2 = 119 a ≈ 10.9

a = 11, b = 2, c = ? (11)2 + (2)2 = c2

121 + 4 = c2 125 = c2 11.2 ≈ c

(3)2 + b2 = (5)2 9 + b2 = 25 b2 = 25 - 9

b2 = 16 b = 4

a = 25, b = ?, c = 34 (25)2 + b2 = (34)2 625 + b2 = 1156 b2 = 1156 - 625

b2 = 531 b ≈ 23.0

a = 12, b = ?, c = 31 (12)2 + b2 = (31)2 144 + b2 = 961 b2 = 961 - 144

b2 = 817 b ≈ 28.6

(8)2 + (1)2 = c2 64 + 1 = c2 65 = c2 8.1 ≈ c

a = ?, b = 2, c = 14 a2 + (2)2 = (14)2

a2 + 4 = 196 a2 = 196 - 4

a2 = 192 a ≈ 13.9

(15)2 + (10)2 = c2 225 + 100 = c2 325 = c2 18.0 ≈ c

(35)2 + b2 = (37)2 1225 + b2 = 1369 b2 = 1369 - 1225

b2 = 144 b = 12

a2 + (14)2 = (22)2 a2 + 196 = 484 a2 = 484 - 196

a2 = 288 a ≈ 17.0

a = 6, b = 4, c = ? (6)2 + (4)2 = c2 36 + 16 = c2

52 = c2 7.2 ≈ c

a = ?, b = 18, c = 32 a2 + (18)2 = (32)2 a2 + 324 = 1024 a2 = 1024 - 324

a2 = 700 a ≈ 26.5

a = 9, b = ?, c = 12 (9)2 + b2 = (12)2 81 + b2 = 144 b2 = 144 - 81

b2 = 63 b ≈ 7.9

a = 15, b = 20, c = ? (15)2 + (20)2 = c2 225 + 400 = c2

625 = c2 25 = c

a = 6, b = 3, c = ? (6)2 + (3)2 = c2

36 + 9 = c2 45 = c2 6.7 ≈ c

a = ?, b = 7, c = 25 a2 + (7)2 = (25)2 a2 + 49 = 625 a2 = 625 - 49

a2 = 576 a = 24

a2 + (13)2 = (16)2 a2 + 169 = 256 a2 = 256 - 169

a2 = 87 a ≈ 9.3

a = 15, b = ?, c = 17 (15)2 + b2 = (17)2 225 + b2 = 289 b2 = 289 - 225

b2 = 64 b = 8

Directions: Solve for each missing side. Glue the problems according to their solution.

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