Subject: Re: Pythagorean Theorem
From: Larry Husch (husch@math.utk.edu)
Date: Wed Mar 22 2000 - 15:51:03 EST
Try the law of cosines.
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Larry Husch phone: 423-974-4162 fax: 423-974-6576
Mathematics Department http://www.math.utk.edu/~husch
University of Tennessee Co-Director, Mathematics Archives
Knoxville, TN 37996-1300 http://archives.math.utk.edu/
On Wed, 22 Mar 2000, Stefan Baratto wrote:
> 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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