1964 IMO Problems/Problem 2: Difference between revisions
Created page with '== Problem == Suppose <math>a, b, c</math> are the sides of a triangle. Prove that <cmath>a^2(b+c-a)+b^2(c+a-b)+c^2(a+b-c)\le{3abc}.</cmath> == Solution ==' |
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Revision as of 10:37, 16 July 2009
Problem
Suppose 
are the sides of a triangle. Prove that
![\[a^2(b+c-a)+b^2(c+a-b)+c^2(a+b-c)\le{3abc}.\]](http://latex.artofproblemsolving.com/2/c/8/2c8afb405fe890dd89759ea3a2ed2e527038adfc.png)
Solution
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