1. The Pythagorean Theorem
By:
Robert Keatinge
Block A
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2. Step 1
We start this proof with four copies of triangle. Each has area ab/2.

3. Step 2
The four triangles were put together to form two squares. The center square has sides (a-b). Summing up its area we get (a-b)2 and 2ab, the area of the four triangles (4·ab/2), Putting this together we get
c2 = (a-b)2+2ab = a2-2ab+b2+2ab = a2+b2

4. Thus….
a2+b2=c2
When simplified the problem is reduced to a2+b2=c2, the Pythagorean Theorem.