1965 IMO Problems/Problem 6
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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
Image of problem Solution. Credits to user awe-sum.
See Also
1965 IMO (Problems) • Resources | ||
Preceded by Problem 5 |
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