RMO 2013 D6
- CRMO Paper 4
Suppose that the vertices of a regular polygon of sides are coloured with three colours - red, blue and green - such that there are exactly three red vertices. Prove that there are three vertices of the polygon having the same colour such that triangle is isosceles.
Dataset text AI-MO AoPS. Quoted with source.
Official text: Indian Regional Mathematical Olympiad 2013 official paper, page 1.
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