1. All about right triangles
Unit 8 - Trigonometry
All about right triangles

2. Notes pages 1–2

3. L E G
hypotenuse
LEG c2 c2 b2 a2

4. a2 + b2 = c2
a2 + b2 = c2 c
x2 + 42
= 92
= x2
x2 + 16
= 81
–16
–16
1300 = x2
= 65 c
36.1
= x x2
x =
8.1

5. a2 + b2 = c2
a2 + b2 = c2 c
x2 + 42
= 92
= x2
x2 + 16
= 81
–16
–16
1300 = x2 c
36.1
= x x2
= 65
x =
8.1
a2 + b2 = c2
x2 + 52
= 82
x2 + 25
= 64
a2 + b2 = c2
–25
–25
= x2 x2
= 39 c
202 = x2
x =
6.2
14.2
= x

6. whole numbers
a2 + b2 = c2

7. __2 + __2 = __2 7 9 11
__2 + __2 = __2 6 8 10
130 =
121 ? NO
100 =
100 ?
YES =
4.8
2.8 = 24
__2 + __2 = __2 5 7
5.3 =
36 = 36 ?
24 +
25 = 49
______2 + ______2 = ___2
(2 2 )
(2 7) 6
YES
49 =
49 ?
YES
8 + 28
= 36

8. (↔,↕) T S RS = __2 + __2 2 2 = ____ 8 R a2 + b2 = c2 __2 + __2 = __2 832 40
TR =
__2 + __2 4 4
= ____ 32
__ + __ = __ 8 32 40
∆RST is a right triangle
ST = 40 6
__2 + __2 2
= ____ 40
40 =