1. Pythagorean Theorem As posted by: http://www.freeclubweb.com/powerp oints/math/pythagorean.html

2. Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle

3. Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse a b c

4. b a a b Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! hypotenuse c

5. a b c Pythagorean Theorem Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only!

6. 6 8 x Solve for x.

7. 4 7 y Solve for y.

8. 6 t 15 Solve for t.

9. Pythagorean Triples 3 4 5 6 8 10 9 12 15 12 16 20

10. Pythagorean Triples 3 4 5 6 8 10 9 12 15 12 16 20 5 12 13 10 24 26 15 36 39 7 24 25 14 48 50 21 72 75 9 15 12

11. To the nearest tenth of a foot, find the length of the diagonal of a rectangle with a width of 4 feet and a length of 10 feet. 4 ft. 10 ft. x

12. 20 miles A car drives 20 miles due east and then 45 miles due south. To the nearest hundredth of a mile, how far is the car from its starting point? 45 miles x

13. Informal Proof #1 Inscribe a square within the square.

14. a b a a a b b b c c c c Informal Proof #1

15. a b a a a b b b c c c c a b c

16. b a a a b b c c c a b c

17. b a a a b b c c c a b c a b c

18. b a a b c c a b c a b c

19. b a a b c c a b c a b c b a c

20. a b c a b c a b c b a c

21. a b c a b c a b c b a c a b c

22. a b c a b c b a c a b c

23. a b c a b c b a c a b c

24. a b c a b c b a c a b c a b c

25. a b c b a c a b c a b c a b c

26. b a c a b c a b c a b c a b c

27. b a c a b c a b c a b c b a c

28. a b c a b c a b c b a c

29. a b a a a b b b c c c c Informal Proof #2 a + b Total Purple Yellow Area Area Area - = - =