RMO 2015 M8
- Mumbai Region
The length of each side of a convex quadrilateral is a positive integer. If the sum of the lengths of any three sides is divisible by the length of the remaining side then prove that some two sides of the quadrilateral have the same length.
Dataset text AI-MO AoPS. Quoted with source.
Official text: Indian Regional Mathematical Olympiad 2015 official paper, page 1.
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