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

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

3. Objective- To solve problems involving the Pythagorean Theorem.
For Right Triangles Only!
hypotenuse c a b
Note: The order of the two legs doesn’t matter! b a

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

5. Solve for x. x 6 8
x = 10

6. Solve for y. 7 4 y

7. Solve for t. 6 t 15

8. Pythagorean Triples

9. Pythagorean Triples 12 9 15

10. 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. x
4 ft.
10 ft.

11. 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?
20 miles x
45 miles

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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