00:00Take 4 right triangles
00:01and make sure they're identical
00:03Place them inside a square
00:05Built from the lengths of side A plus B
00:09so each one will sit in a corner
00:11Now the space in the middle forms one square
00:15and each side of that middle square
00:17equals the triangle's longest side
00:20Rearrange those same 4 triangles
00:22and the leftover area is 2 separate squares
00:26Each with a side length matching one of the triangle's shorter sides
00:31Nothing was added or removed
00:33so the leftover space in both arrangements must be equal
00:38which means the middle square equals the two smaller squares added together
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