perplexus.info :: Just Math : Complex hexagon ratios

Complex hexagon ratios (Posted on 2021-01-20)

Let ABCDEF be a convex hexagon such that ∠B+∠D+∠F=360 and AB/BC × CD/DE × EF/FA = 1. Prove that BC/CA × AE/EF × FD/DB = 1

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