Unit 8 Lesson 9.2 The Pythagorean Theorem

CCSSG-SRT 4: Prove theorems about triangles.

Lesson Goals• Use the Pythagorean Th. to

find missing side lengths in a right triangle.

• Recognize a Pythagorean Triple.

ESLRs: Becoming Effective Communicators, Competent Learners and Complex Thinkers

the Pythagorean Theorem

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

ac

b

2 2 2c a b

definition

Pythagorean Triples A set of three positive integers: a, b, c

that satisfy the equation

Examples3, 4, and 55, 12, and 138, 15, and 17

2 2 2a b c