A Math Forum Project

Geometry Forum Problem of the 
Week

    Pythagorean Theorem Proof - March 21-25, 1994

    One of the most familiar proofs of the Pythagorean Theorem shows a right triangles with squares constructed on each of the edges. The sum of the areas of the squares constructed on the edges equals the area of the square constructed on the hypontenuse.
    What's so special about squares? What if we used equilateral triangles instead? Or maybe hexagons? Would these figures give the same result? Why do you suppose squares are usually used?
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2 July 1995