1. Pythagorean Theorem

3. a = altitude
b = base
c = hypotenuse c a b

4. a = altitude
b = base
c = hypotenuse

5. a = altitude
b = base
c = hypotenuse

6. a = altitude
b = base
c = hypotenuse

7. a = altitude
b = base
c = hypotenuse
Area of each rectangle is ab

8. a = altitude
b = base
c = hypotenuse
Sum of areas = 2ab

9. a = altitude
b = base
c = hypotenuse

10. a = altitude
b = base
c = hypotenuse
Sum of areas = 2ab

11. a = altitude
b = base
c = hypotenuse
Sum of areas = 2ab

12. a = altitude
b = base
c = hypotenuse
Sum of areas = 2ab

13. a = altitude
b = base
c = hypotenuse
Sum of areas = 2ab

14. a = altitude
b = base
c = hypotenuse
Sum of areas = 2ab

15. a = altitude
b = base
c = hypotenuse
Sum of areas = 2ab

16. a = altitude
b = base
c = hypotenuse
Sum of areas = 2ab

17. a = altitude
b = base
c = hypotenuse
a - b
Sum of areas = 2ab

18. a = altitude
b = base
c = hypotenuse
a - b
Sum of areas = 2ab
Area = (a - b)2

19. a = altitude
b = base
c = hypotenuse
a - b
Sum of areas = 2ab
Area = (a - b)2
Total area = c2

20. c2 = (a - b)2 + 2ab a = altitude b = base c = hypotenuse
Sum of areas = 2ab
Area = (a - b)2
Total area = c2
c2 = (a - b) ab

21. c2 = (a - b)2 + 2ab c2 = a2 - 2ab + b2 + 2ab c2 = a2 + b2 a = altitude
b = base
c = hypotenuse
Area = (a - b)2
Total area = c2
Sum of areas = 2ab
c2 = (a - b) ab
c = a2 - 2ab + b2 + 2ab
c = a b2