Unit 8 Lesson 9.2 The Pythagorean Theorem CCSS G-SRT 4: Prove theorems about triangles. Lesson Goals Use the Pythagorean Th. to find missing side lengths.

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Presentation transcript:

Unit 8 Lesson 9.2 The Pythagorean Theorem CCSS G-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. a c b

definition Pythagorean Triples A set of three positive integers: a, b, c that satisfy the equation Examples 3, 4, and 5 5, 12, and 13 8, 15, and 17