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Concurrency Induced by a Cevian

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Let ABC be a triangle and let M be a point on AB. Let P and Q be the intersections of the angle bisectors of and with BC and AC respectively. Then AP, BQ, and CM are concurrent.

Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA

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See problem 14 in Classical Theorems in Plane Geometry.

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