BALKAN-SL 2010 G1

Let $ABCDE$ be a pentagon with $\hat{A}=\hat{B}=\hat{C}=\hat{D}=120^{\circ}$ . Prove that $4\cdot AC \cdot BD\geq 3\cdot AE \cdot ED$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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