1. Pythagorean Theorem

2. legs
Hypotenuse—longest side!

4. Find the value of x. 5 x 13 a = 5 Pythagorean Theorem: b = x
c = 13
Pythagorean Theorem:
a2 + b2 = c2
52 + x2 = Write equation plugging in a, b, and c.
25 + x2 = simplify
x2 = 144 Subtract 25 to the other side
Take the square root of both sides
x = 12

5. Find the value of x. x 20 15 a = 20 Pythagorean Theorem: b = 15
c = x
Pythagorean Theorem:
a2 + b2 = c2
= x Write equation plugging in a, b, and c.
= x2 Square the terms
625 = x2 Combine like terms
Take the square root of both sides
25 = x

6. When all side lengths of a right triangle are whole numbers.
Pythagorean Triples
When all side lengths of a right triangle are whole numbers.

7. Common Pythagorean Triples:
3, 4, 5 5, 12, 13 8, 15, 17 7, 24, 25

8. Pythagorean Triples Worksheet
Homework
Pythagorean Triples Worksheet