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IMO2003 problem A3

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2003-07-24, 12:20

eepiccolo

Dec 2002

Frederick County, MD

101110010₂ Posts

IMO2003 problem A3

Here is the third problem from the 44th International Mathematical Olympiad. The other five are posted also. I don't know the answers, but I'll be working on them when I get the chance.

Quote:

A3. A convex hexagon has the property that for any pair of opposite sides the distance between their midpoints is (sqrt(3))/2 times the sum of their lengths. Show that all the hexagon's angles are equal.

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