Geometry Construction Problem | RMO 2017 Problem 1

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Problem useful for I.S.I B.Stat B.Math Entrance, CMI Entrance and Math Olympiad

This is a simple construction problem. Begin with a parallel line.

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Can’t one also do this by constructing a triangle with centroid P? (which is very easy to do)

yoyokojo
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This problem has to be amongst the easiest in the history of RMO

himanshuranjan