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Red and Green Points

Source: Iran Third Round MO 1998, Exam 4, P3

October 31, 2010
combinatorics proposedcombinatorics

Problem Statement

Let ABCABC be a given triangle. Consider any painting of points of the plane in red and green. Show that there exist either two red points on the distance 11, or three green points forming a triangle congruent to triangle ABCABC.
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