![Page 1: 11.2 Pythagorean Theorem. Applies to Right Triangles Only! leg Leg a hypotenuse c Leg b](https://reader035.vdocuments.us/reader035/viewer/2022071807/56649dd15503460f94ac7d72/html5/thumbnails/1.jpg)
11.2 Pythagorean Theorem
![Page 2: 11.2 Pythagorean Theorem. Applies to Right Triangles Only! leg Leg a hypotenuse c Leg b](https://reader035.vdocuments.us/reader035/viewer/2022071807/56649dd15503460f94ac7d72/html5/thumbnails/2.jpg)
Applies to Right Triangles Only!
leg
Leg a
hypotenusec
2 2 2(leg) (leg) (hypotenuse)
2 2 2a b c
Leg b
![Page 3: 11.2 Pythagorean Theorem. Applies to Right Triangles Only! leg Leg a hypotenuse c Leg b](https://reader035.vdocuments.us/reader035/viewer/2022071807/56649dd15503460f94ac7d72/html5/thumbnails/3.jpg)
![Page 4: 11.2 Pythagorean Theorem. Applies to Right Triangles Only! leg Leg a hypotenuse c Leg b](https://reader035.vdocuments.us/reader035/viewer/2022071807/56649dd15503460f94ac7d72/html5/thumbnails/4.jpg)
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
![Page 5: 11.2 Pythagorean Theorem. Applies to Right Triangles Only! leg Leg a hypotenuse c Leg b](https://reader035.vdocuments.us/reader035/viewer/2022071807/56649dd15503460f94ac7d72/html5/thumbnails/5.jpg)
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
![Page 6: 11.2 Pythagorean Theorem. Applies to Right Triangles Only! leg Leg a hypotenuse c Leg b](https://reader035.vdocuments.us/reader035/viewer/2022071807/56649dd15503460f94ac7d72/html5/thumbnails/6.jpg)
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
![Page 7: 11.2 Pythagorean Theorem. Applies to Right Triangles Only! leg Leg a hypotenuse c Leg b](https://reader035.vdocuments.us/reader035/viewer/2022071807/56649dd15503460f94ac7d72/html5/thumbnails/7.jpg)
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
![Page 8: 11.2 Pythagorean Theorem. Applies to Right Triangles Only! leg Leg a hypotenuse c Leg b](https://reader035.vdocuments.us/reader035/viewer/2022071807/56649dd15503460f94ac7d72/html5/thumbnails/8.jpg)
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
![Page 9: 11.2 Pythagorean Theorem. Applies to Right Triangles Only! leg Leg a hypotenuse c Leg b](https://reader035.vdocuments.us/reader035/viewer/2022071807/56649dd15503460f94ac7d72/html5/thumbnails/9.jpg)
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
![Page 10: 11.2 Pythagorean Theorem. Applies to Right Triangles Only! leg Leg a hypotenuse c Leg b](https://reader035.vdocuments.us/reader035/viewer/2022071807/56649dd15503460f94ac7d72/html5/thumbnails/10.jpg)
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.
![Page 11: 11.2 Pythagorean Theorem. Applies to Right Triangles Only! leg Leg a hypotenuse c Leg b](https://reader035.vdocuments.us/reader035/viewer/2022071807/56649dd15503460f94ac7d72/html5/thumbnails/11.jpg)
Homework
• Page 462 (8-10, 14-19) all