MathDB

area > 4

Source: Laurentiu Panaitopol,Romania, TST 1991

August 10, 2005

geometrygeometry proposed

Problem Statement

Let

M=\{A_{1},A_{2},\ldots,A_{5}\}

be a set of five points in the plane such that the area of each triangle

A_{i}A_{j}A_{k}

, is greater than 3. Prove that there exists a triangle with vertices in

M

and having the area greater than 4. Laurentiu Panaitopol