Each point in the plane is coloured either red or blue. Prove that there exist three points of the same colour such that at least one of the points is a distance of 1cm from each of the other two.

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Yashmikashanthirakumidn Yashmikashanthirakumidn

07-09-2022
Mathematics

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Each point in the plane is coloured either red or blue. Prove that there exist three points of the same colour such that at least one of the points is a distance of 1cm from each of the other two.

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