IMO Shortlist 2003 problem G6


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2. travnja 2012.
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Each pair of opposite sides of a convex hexagon has the following property: the distance between their midpoints is equal to \dfrac{\sqrt{3}}{2} times the sum of their lengths. Prove that all the angles of the hexagon are equal.
Izvor: Međunarodna matematička olimpijada, shortlist 2003