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Number of triangles with integer sides and other conditions

Source: (Indian) RMO 2008 Problem 6

November 9, 2008
geometryperimeterinequalitiestrigonometrytriangle inequalitycombinatorics unsolvedcombinatorics

Problem Statement

Find the number of all integer-sided isosceles obtuse-angled triangles with perimeter 2008 2008. [16 points out of 100 for the 6 problems]