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Pythagoras knew it!! (Posted on 2010-03-05) Difficulty: 2 of 5
The basic arithmetic mean-geometric mean (AM-GM) inequality states simply that if x and y are nonnegative real numbers, then. (x+y)/2 ≥ √(x*y), with equality if and only if x = y.
There are various proofs for this theorem (for any number of values), inter alia Polya, Cauchy, by induction etc.
Now derive your proof directly from Pythagoras' formula a2+b2 = c2, a ≠ b.

No Solution Yet Submitted by Ady TZIDON    
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re(2): my attempt | Comment 4 of 5 |
(In reply to re: my attempt by JayDeeKay)

yes I agree.  Its the easiest way I could find to get a proof from Pythagoras.
  Posted by Daniel on 2010-03-05 20:21:17

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