OPM 1996 Problem 5
- Final day 2
Consider a right-angled triangle whose legs are cm long. Suppose that each point of the triangle was assigned a color from the set of Brown, Blue, Green and Orange colors. It proves that, whatever way this was done, there is at least one pair of points of the same color at a distance equal to or greater than cm from each other.
Dataset text AI-MO AoPS. Quoted with source.
Official text: Portuguese Mathematical Olympiad 1996 official paper, page 1.
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