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Show that an integer sided Pythagorean triangle can have atmost one perfect square side

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,320

Hi Agnishom;

In your other thread

http://www.mathisfunforum.com/viewtopic.php?id=18119

you posted a link.

It proves there are no solutions to the diophantine equation.

with a,b,c being positive integers by the method of infinite descent. Do you see how to apply it here?

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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