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GeometryQuestion and Answers: Page 53

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Given a convex hexagon ABCDEG satisfy: AB=BC, CD=DE, EF=FA. Suppose △ACE is a right triangle. (((BC)/(BE))+((DE)/(DA))+((FA)/(FC)))_(min) =?

$G i v e n a c o n v e x h e x a g o n A B C D E G$ $s a t i s f y : A B = B C, C D = D E, E F = F A .$ $S u p p o s e △ A C E i s a r i g h t t r i a n g l e .$ ${(\frac{B C}{B E} + \frac{D E}{D A} + \frac{F A}{F C})}_{m i n} = ?$

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