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how do we prove that $a^2+b^2=c^2$ for a right angled triangle whose hypotenuse measures $c$ units and the other sides measure $a$ units and $b$ units.

NOTE: $3^2+4^2=5^2$

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There are many proofs easily found by googling "Proof of Pythagoras' theorem". I suggest trying that. – Ragib Zaman Aug 18 '12 at 14:21
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As remarked by Ragib, there are many proofs. It depends on what knowledge you have available and want to use. The ones which I like best are nr. 3 and nr. 4 on the following page: cut-the-knot.org/pythagoras/index.shtml – user20266 Aug 18 '12 at 14:23
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Here is another Math.SE thread containing many proofs. – Ragib Zaman Aug 18 '12 at 14:36
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Then it is a duplicate? I'm fine with closing it cause of this. – user20266 Aug 18 '12 at 14:37
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closed as not a real question by Peter Tamaroff, BenjaLim, William, t.b., J. M. Aug 18 '12 at 18:14

It's difficult to tell what is being asked here. This question is ambiguous, vague, incomplete, overly broad, or rhetorical and cannot be reasonably answered in its current form. For help clarifying this question so that it can be reopened, see the FAQ.

1 Answer

up vote 7 down vote

Here are 97 proofs of the Pythagorean Theorem. That should be enough for you, although there are about 300 more I believe.

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