MathDB
I think is little hard

Source: Unknow

April 24, 2004
geometryinequalitiestrigonometryrotationgeometric transformationhomothetyCauchy Inequality

Problem Statement

Let ABCABC be a triangle with ∠BAC=60∘\angle BAC=60^\circ. Consider a point PP inside the triangle having PA=1PA=1, PB=2PB=2 and PC=3PC=3. Find the maximum possible area of the triangle ABCABC.
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