Square of side 6 has 4 points at dist. 5 from each other in
Source: Romanian IMO Team Selection Test TST 2003, problem 11
August 17, 2003
geometrytrigonometrypigeonhole principlearea of a trianglegeometry solved
Problem Statement
In a square of side 6 the points are given such that the distance between any two of the four points is at least 5. Prove that form a convex quadrilateral and its area is greater than 21.
Laurentiu Panaitopol