1. 8-1The Pythagorean Theorem and Its Converse

2. Learning GoalTo use the Pythagorean Theorem and its converse.

3. Pythagorean Theorema2 + b2 = c2

4. Pythagorean Theorema2 + b2 = c2The right angle touches the a and b.

5. Pythagorean Theorem:a2 + b2 = 2 c c a b

6. Pythagorean Theorem:a2 + b2 = 2 c 5 3 x

7. Pythagorean Theorem:32+ x2= 2 c 5 3 x

8. Pythagorean Triples and Their Multiples3, 4, 55, 12, 13

9. ExampleIs a triangle with side lengths 9, 12 and 16 a right triangle?

10. ExampleIs a triangle with side lengths 9, 12 and 16 a right triangle?a2 + b2 = c2

11. ExampleIs a triangle with side lengths 9, 12 and 16 a right triangle?a2 + b2 = c2Which number goes in the c spot?

12. ExampleIs a triangle with side lengths 9, 12 and 16 a right triangle?a2 + b2 = c2Which number goes in the c spot?Why?

13. ExampleIs a triangle with side lengths 9, 12 and 16 a right triangle?a2 + b2 = c292 + 122 = 162

14. ExampleIs a triangle with side lengths 9, 12 and 16 a right triangle?a2 + b2 = c292 + 122 = 16281 + 144 = 256

15. ExampleIs a triangle with side lengths 9, 12 and 16 a right triangle?a2 + b2 = c292 + 122 = 16281 + 144 = 256225 = 256

16. ExampleIs a triangle with side lengths 9, 12 and 16 a right triangle?a2 + b2 = c292 + 122 = 16281 + 144 = 256225 = 256No

17. When you plug the 3 sides of a triangle into the Pythagorean theorem, if the c2 is larger then it is an obtuse triangle. If it is smaller then it is an acute triangle.

18. Examplea2 + b2 = c292 + 122 = 16281 + 144 = 256225 = 256Is this triangle Acute or Obtuse?

19. Examplea2 + b2 = c292 + 122 = 16281 + 144 = 256225 = 256Obtuse

20. Turn to page 495.2, 3, 138-10, 19-30, 33, 36-385 Points: 100% Complete 4 Points: 80% Complete 3 Points: 60% Complete 2 Points: 40% Complete 1 Point: 20% Complete