A few days ago I got the book Mathematics and its History by John Stillwell from the library, and last night I had a chance to start reading it. It had this nice diagram in it.
Do you see a proof of the Pythagorean theorem in there?
Apparently this tiling proof is attributed to Annairizi of Arabia, but there are others. I found this nice paper online called Paintings, Tilings & Proofs which discusses several different examples including this next one.
Of course, there are lots and lots of other proofs as well, many of which are listed on this page from cut-the-knot.
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