Pythagorean Theorem

1
Pythagorean Theorem
2
(No Transcript)
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
a altitude b base c hypotenuse
Sum of areas 2ab
Area (a - b)2
Total area c2
c2 (a - b)2 2ab
21
Sum of areas 2ab