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A trisects BC

Source: IMO Longlist 1989, Problem 99

September 18, 2008
geometry unsolvedgeometry

Problem Statement

Let ABC ABC be an equilateral triangle and Γ \Gamma the semicircle drawn exteriorly to the triangle, having BC BC as diameter. Show that if a line passing through A A trisects BC, BC, it also trisects the arc Γ. \Gamma.
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