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#1 2012-12-23 00:42:17

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 21,735
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Pythagorean Triangle

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


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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#2 2012-12-23 03:10:42

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 96,546

Re: Pythagorean Triangle

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.

If it ain't broke, fix it until it is.

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