PAMO 2010 Problem 4
- Day 2
Seven distinct points are marked on a circle of circumference . Three of the points form an equilateral triangle and the other four form a square. Prove that at least one of the seven arcs into which the seven points divide the circle has length less than or equal .
Dataset text AI-MO AoPS. Quoted with source.
Official text: Pan-African Mathematics Olympiad 2010 official paper, page 1.
Solutions
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