KöMaL 2005 A388

In the hexagon ABCDEF we have $AB$ = $BC$ , $CD$ = $DE$ and $EF$ = $FA$ . Prove that $\frac{AB}{BE}+\frac{CD}{DA}+\frac{EF}{FC}\ge\frac32.$

Official text KöMaL. Quoted with source.

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