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Regional Olympiad - FBH 2016 Grade 9 Problem 3

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2016

September 22, 2018
geometrytrapezoidratio

Problem Statement

Nine lines are given such that every one of them intersects given square ABCDABCD on two trapezoids, which area ratio is 2:32 : 3. Prove that at least 33 of those 99 lines pass through the same point
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