MathDB
Area of pentagon with lattice points is at least 5/2

Source: Romanian TST 1998

April 23, 2011
geometryrectanglepigeonhole principlegeometry proposed

Problem Statement

All the vertices of a convex pentagon are on lattice points. Prove that the area of the pentagon is at least 52\frac{5}{2}.
Bogdan Enescu
Back to ProblemsView on AoPS