Similar triangles in n-gon
Source: Sharygin Geometry Olympiad 2012 - Problem 2
April 28, 2012
geometrycircumcirclegeometry unsolved
Problem Statement
A cyclic -gon is divided by non-intersecting (inside the -gon) diagonals to triangles. Each of these triangles is similar to at least one of the remaining ones. For what this is possible?