Benchmark 40

I can find the missing side of a right triangle using the Pythagorean Theorem.

Pythagorean Theorem

c 2

b

ac

In a ____ triangle, the square of the length of the __________ is equal to the sum of the squares of the lengths of the ____.

right

hypotenuse

legs

a 2 + b

2 =

Pythagorean Triple A set of three positive integers a, b, and c

that satisfy the equation a2 + b2 = c2. The integers 3, 4, and 5 form a

Pythagorean triple because:

32 + 42 = 52

9 + 16 = 2525 = 25

Find the length of the hypotenuse

12

x

5a2 + b2 = c2

5 2 + 122 = x2

25 + 144 = x2

169 = x 2

13 = x

Find the length of the leg

a2 + b2 = c2

7 2 + x2 = 142

49 + x2 = 196

x 2 = 147

x = 7 3

x

14

7