dividing square in different no of sides convex polygons, at least 1 is triangle
Source: 2012 Sharygin Geometry Olympiad Final Round 8.8
August 3, 2018
geometryconvex polygonsquare
Problem Statement
A square is divided into several (greater than one) convex polygons with mutually different numbers of sides. Prove that one of these polygons is a triangle.(A.Zaslavsky)