11.2 pythagorean theorem. applies to right triangles only! leg leg a hypotenuse c leg b
TRANSCRIPT
11.2 Pythagorean Theorem
Applies to Right Triangles Only!
leg
Leg a
hypotenusec
2 2 2(leg) (leg) (hypotenuse)
2 2 2a b c
Leg b
Find the missing side of the right triangle
8
6
2 2 2a b c
x 2 2 26 8 x
236 64 x 2100 x
100 or 100 x
10 x
Find the missing side of the right triangle
74
2 2 2a b c
x
2 2 24 7 x 216 49 x 265 x
65 or 65 x
x 65 8.1 cm
Find the missing side of the right triangle in the 1 centimeter grid below.
12
5
2 2 2a b c x 2 2 25 12 x
225 144 x 2169 x
169 or 169 x
13 x
Find the missing side of the right triangle below.
410
x
2 2 2a b c 2 2 24 x 10
216 x 100
x 84x 9.2
16 16 2x 84
Find the missing side of the right triangle below.
3
7x
2 2 2a b c 2 2 2x 3 7
2x 9 49
x 40x 6.3
9 9 2x 40
A 12 foot ladder leans against a wall. How far must the base of the ladder be placed away fromthe wall if it is to reach a height of exactly 10 feet?
12 ft. 10 ft.
x
2 2 2a b c 2 2 2x 10 12 2x 100 144
x 44x 6.63 ft.
100 100 2x 44
A guide wire is needed to support a 20 foot pole. How long should the guide wire be if it is to be fixed to the ground 8 feet from the base of the pole?
20 ft.
8 ft.
x
2 2 2a b c 2 2 220 8 x
2400 64 x 2464 x
464 x
x 21.54 ft.
Homework
• Page 462 (8-10, 14-19) all