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A Concurrency Generated by the Angle Bisectors

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Extend the angle bisectors of the triangle ABC to meet its circumcircle at A', B' and C'. Let A'', B'', and C'' be the perpendicular projections of A', B', and C' onto BC, AC, and AB, respectively. Then AA'', BB'', and CC'' are concurrent.

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

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