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Let ABC be a triangle with incenter I. Let AA' be the bisector of

with A' on BC. Then

Problem 1.17(b) in V. Prasolov, Problems in Plane and Solid Geometry, Vol. 1, Plane Geometry [PDF], (D. Leites, ed. and trans.).

Contributed by: Jay Warendorff

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Division of an Angle Bisector by the Incenter