Subject: Pythagorean Theorem
From: Stefan Baratto (sbaratto@earthlink.net)
Date: Wed Mar 22 2000 - 12:14:02 EST
I am trying to find a proof of the converse of the Pythagorean Theorem that
doesn't require the Pythagorean Theorem as a given. That is, if a triangle
has sides whose lengths satisfy the relationship a^2 + b^2 = c^2 then it is
necessarily a right triangle. The only proofs I could find (or deduce)
require one to assume that if a triangle is right, then the sum of the
squares of the lengths of the legs is equal to the square of the length of
the hypotenuse.
Stefan Baratto
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