2003 IMO Problems/Problem 3

Problem

Each pair of opposite sides of convex hexagon has the property that the distance between their midpoints is times the sum of their lengths. Prove that the hexagon is equiangular.

Solution

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See Also

2003 IMO (Problems) • Resources
Preceded by Problem 2	1 • 2 • 3 • 4 • 5 • 6	Followed by Problem 4
All IMO Problems and Solutions