IZhO 2009 Problem 3

For a convex hexagon $ABCDEF$ with an area $S$ , prove that: $AC\cdot(BD+BF-DF)+CE\cdot(BD+DF-BF)+AE\cdot(BF+DF-BD)\geq 2\sqrt{3}S$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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