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12 JulyProblem 1. Let ABC be a triangle with incentre I. A point P in the interior of the triangle satisfies 6 P BA + 6 P CA = 6 P BC + 6 P CB. Show that AP ≥ AI, and that equality holds if and only if P = I.
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Document Date: 2006-08-07 07:06:56
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12 JulyProblem 1. Let ABC be a triangle with incentre I. A point P in the interior of the triangle satisfies 6 P BA + 6 P CA = 6 P BC + 6 P CB. Show that AP ≥ AI, and that equality holds if and only if P = I.