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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 on theme: "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."— Presentation transcript:

1 QOD

2 Pythagorean Theorem

3 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

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

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

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

7 You try. What is the value of x?

8 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

9 Practice

10 You Try..

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

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

13 QOD 1. 2.

14

15 Classwork/Homework WKST 8.1 WKST 8.1 (crossword)

16 Closure

17

18


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