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2005 Cyprus Seniors TST/Day 1/Problem 2

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Problem

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

Solution

See also

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