The Pythagorean Theorem

The Parts of a right triangle

a

b

c

legs

hypotenusea² + b² = c²

Example 2

a² + b² = c²6

8

a

b

c

6² + 8²

36 + 64

100 = c²

100 = 10

√

Example 3

a² + b² = c²

13

5

b

5² + b² = 13²

25 + b² = 169- 25

b² = 144

a

c

√144= 12

Example 4a² + b² = c²a

b

c18

16

√

a² + 16² = 18²

a² + 256 = 324- 256

68a² =

68

8. 2