n-gons
Source: ToT - 2001 Fall Junior A-Level #2
August 17, 2011
geometryperimetergeometry unsolved
Problem Statement
Let be an integer. A circle is divided into arcs by points. Each arc has one of three possible lengths, and no two adjacent arcs have the same lengths. The points are colored alternately red and blue. Prove that the -gon with red vertices and the -gon with blue vertices have the same perimeter and the same area.