BALTIC-WAY 2015 Problem 11

Answer

The diagonals of the parallelogram $A B C D$ intersect at $E$ . The bisectors of $\angle D A E$ and $\angle E B C$ intersect at $F$ . Assume that $E C F D$ is a parallelogram. Determine the ratio $A B: A D$ .

Dataset text NuminaMath olympiads. Quoted with source.

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A B=\sqrt{3} \cdot A D

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