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A-convex-hexagon-is-given-in-which-any-two-opposite-sides-have-the-following-property-the-distance-between-their-midpoints-is-3-2-times-the-sum-of-their-lengths-Prove-that-the-hexagon-is-equian




Question Number 16737 by Tinkutara last updated on 26/Jun/17
A convex hexagon is given in which  any two opposite sides have the  following property: the distance  between their midpoints is ((√3)/2) times the  sum of their lengths. Prove that the  hexagon is equiangular.
Aconvexhexagonisgiveninwhichanytwooppositesideshavethefollowingproperty:thedistancebetweentheirmidpointsis32timesthesumoftheirlengths.Provethatthehexagonisequiangular.

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