MathDB
maximum possible number of triangles with same area

Source: JBMO Shortlist 2004

October 13, 2017
geometrycombinatorial geometryarea of triangleJBMO

Problem Statement

Let E,FE, F be two distinct points inside a parallelogram ABCDABCD . Determine the maximum possible number of triangles having the same area with three vertices from points A,B,C,D,E,FA, B, C, D, E, F.