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n-gon decomposed into isosceles triangles

Source: Donova Mathmatical Olympiad 2010

February 11, 2012
AMCUSA(J)MOUSAMOgeometry proposedgeometry

Problem Statement

Determine all integer numbers n3n\ge 3 such that the regular nn-gon can be decomposed into isosceles triangles by non-intersecting diagonals.