Each pair of opposite sides of a convex hexagon has the following property: the distance between their midpoints is equal to
times the sum of their lengths. Prove that all the angles of the hexagon are equal.
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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.
Školjka