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Convex Hexagon and Ratio Product (Posted on 2015-09-01) Difficulty: 3 of 5
PQRSTU is a convex hexagon such that:

∠ Q + ∠ S + ∠ U = 360o and:
(PQ/QR)(RS/ST)(TU/UP) = 1

Find: (QR/RP)(PT/TU)(US/SQ)

No Solution Yet Submitted by K Sengupta    
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re(2): metasolution Comment 3 of 3 |
(In reply to re: metasolution by Jer)

I hadn't noticed that the lengths weren't all side lengths. Luckily for my answer, the overall numerator has one side length and two lengths of short diagonals, and the denominator has the same, referring to the regular case of the hexagon.
  Posted by Charlie on 2015-09-01 15:56:20

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