MathDB
2013 ToT Fall Junior A p5 101-gon inscribed in circle, perpendicular each vertex

Source:

March 22, 2020
perpendicularpoygoncombinatorial geometrygeometry

Problem Statement

A 101101-gon is inscribed in a circle. From each vertex of this polygon a perpendicular is dropped to the opposite side or its extension. Prove that at least one perpendicular drops to the side.