1965 IMO Problems/Problem 6
Problem
In a plane a set of points (
) is given. Each pair of points is connected by a segment. Let
be the length of the longest of these segments. We define a diameter of the set to be any connecting segment of length
. Prove that the number of diameters of the given set is at most
.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.