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2003 green points are contained in a triangle T of area <4

Source: IX May Olympiad (Olimpiada de Mayo) 2003 L2 P4

September 19, 2022
geometrycombinatoricscombinatorial geometryareas

Problem Statement

Bob plotted 20032003 green points on the plane, so all triangles with three green vertices have area less than 11. Prove that the 20032003 green points are contained in a triangle TT of area less than 44.
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