Incircles and inequality
Source: Tournament of towns, Junior A-Level paper, Fall 2004
December 25, 2004
geometryinequalitiesinradiustrigonometrygeometry solved
Problem Statement
Let K be a point on the side BC of the triangle ABC. The incircles of the triangles ABK and ACK touch BC at points M and N, respectively. Show that [tex]BM\cdot CN>KM \cdot KN[/tex].