QOD. Pythagorean Theorem Pythagorean triple Pythagorean triple – a set of nonzero whole numbers a, b, and c that satisfy the equation 3,4,5 5,12,13 8,15,17.

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Presentation transcript:

QOD

Pythagorean Theorem

Pythagorean triple Pythagorean triple – a set of nonzero whole numbers a, b, and c that satisfy the equation 3,4,5 5,12,13 8,15,17 7,24,25

Practice #1 What is the length of the hypotenuse of triangle ABC?

You try. Find the length of the hypotenuse of triangle LMN. Do the side lengths form a Pythagorean triple?

Practice #2 What is the value of x? Simplify the radical if necessary.

You try. What is the value of x?

Converse of the Pythagorean Theorem What if a²+b² ≠ c²? Then what kind of triangle is formed? Acute Triangle: if c² < a² + b² Obtuse Triangle: if c² > a² + b²

Practice

You Try..

Homework/Classwork Pg. 495, #8-34 even

Closure Find x. 1.)2.) 3.)

QOD 1. 2.

Classwork/Homework WKST 8.1 WKST 8.1 (crossword)

Closure