Difference between revisions of "2005 Cyprus Seniors TST/Day 1/Problem 2"

Revision as of 15:08, 17 December 2006

Problem

Given a triangle with sides $\alpha, \beta, \gamma$ . Prove that: $\alpha^2 (\beta+\gamma-\alpha)+\beta^2 (\gamma+\alpha-\beta)+\gamma^2 (\alpha+\beta-\gamma)\leq 3 \alpha \beta \gamma$

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Difference between revisions of "2005 Cyprus Seniors TST/Day 1/Problem 2"

Revision as of 15:08, 17 December 2006

Problem

Solution

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