Determine all integer numbers $n\ge 3$ such that the regular $n$-gon can be decomposed into isosceles triangles by non-intersecting diagonals.
Problem
Source: Donova Mathmatical Olympiad 2010
Tags: AMC, USA(J)MO, USAMO, geometry proposed, geometry
Source: Donova Mathmatical Olympiad 2010
Tags: AMC, USA(J)MO, USAMO, geometry proposed, geometry
Determine all integer numbers $n\ge 3$ such that the regular $n$-gon can be decomposed into isosceles triangles by non-intersecting diagonals.