## A Picture Proof of the Pythagorean Theorem

Both squares have sides of length a + b and therefore both have
the same area.

The purple region in each square consists of
four abc right triangles, and so both purple regions have the
same area.

We conclude that the white regions in the two squares
have equal areas, and...

QED

This image was taken from a T-shirt
conceived by Sen Nagata and designed by me
for the Amherst College
Student Chapter of the
Mathematical Association of America.

Many More Picture Proofs of the Pythagorean Theorem
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