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Well, there are many, many proofs of the Pythagorean Theorem. Some sources have as many as 93 proofs. Here is my favorite, but others are listed in the math website in Related Links (below).

This is an excerpt from a letter by Dr. Scott Brodie from the Mount Sinai School of Medicine, NY, taken from the first website, proof # 21.

The first proof I merely pass on from the excellent discussion in the Project Mathematics series, based on Ptolemy's theorem on quadrilaterals inscribed in a circle: for such quadrilaterals, the sum of the products of the lengths of the opposite sides, taken in pairs equals the product of the lengths of the two diagonals. For the case of a rectangle, this reduces immediately to a² + b² = c².

Related Links
  • A website with 93 proofs of the Pythagorean Theorem. http://www.cut-the-knot.org/pythagoras/index.shtml
  • An award-winning applet that demonstrates one of the most famous proofs of the Pythagorean Theorem. http://www.cut-the-knot.org/pythagoras/morey.shtml
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Q: What is the proof of the Pythagorean Theorem?
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