exists a triangle of area greater than 3, (5 points 10 triangles, area >2)
Source: 2002 Romania JBMO TST 4.4
May 31, 2020
geometryareaGeometric Inequalitiescombinatorial geometrycombinatorics
Problem Statement
Five points are given in the plane that each of triangles they define has area greater than . Prove that there exists a triangle of area greater than .