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IMO Shortlist 2011, Algebra 5

Source: IMO Shortlist 2011, Algebra 5

July 11, 2012
trigonometryinequalitiestriangle inequalityalgebraTriangleIMO Shortlist

Problem Statement

Prove that for every positive integer n,n, the set {2,3,4,…,3n+1}\{2,3,4,\ldots,3n+1\} can be partitioned into nn triples in such a way that the numbers from each triple are the lengths of the sides of some obtuse triangle.
Proposed by Canada
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