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Concurrent Line Segments Related to the Incircle

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Let ABC be a triangle. Let the intersection of the incircle with BC be A'. Let AA' also intersect the incircle at P. Let BP and CP intersect the incircle at M and N, respectively. Then CM, BN, and AA' are concurrent.

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

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