golden ratio and pentagons: the flavor of ISL 2002 G5
Source: Moldova 2007 IMO-BMO TST II problem 4
March 23, 2007
ratiogeometrycombinatorial geometrygeometry proposed
Problem Statement
Consider five points in the plane, no three collinear. The convex hull of this points has area . Prove that there exist three points of them that form a triangle with area at most