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

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 16,649
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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'
'Humanity is still kept intact. It remains within.' -Alokananda

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

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

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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