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2003 IMO Problems/Problem 3

Revision as of 23:40, 18 November 2023 by Tomasdiaz (talk | contribs) (Created page with "==Problem== Each pair of opposite sides of convex hexagon has the property that the distance between their midpoints is <math>\frac{\sqrt{3}}{2}</math> times the sum of their...")
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Problem

Each pair of opposite sides of convex hexagon has the property that the distance between their midpoints is $\frac{\sqrt{3}}{2}$ 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 3
All IMO Problems and Solutions
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