Difference between revisions of "1964 IMO Problems/Problem 2"

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== Solution ==
 
== Solution ==
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Revision as of 11:37, 16 July 2009

Problem

Suppose $a, b, c$ are the sides of a triangle. Prove that

\[a^2(b+c-a)+b^2(c+a-b)+c^2(a+b-c)\le{3abc}.\]

Solution

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