A Concurrency from a Point and a Triangle's Excenters

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Let ABC be a triangle and P a point. Let A', B', and C' be the excenters opposite A, B, and C, respectively. Let PA', PB', and PC' intersect BC, AC, and AB at A'', B'', and C'', 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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