Concurrent Line Segments Related to the Incircle

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.

Details

See Iranian Mathematical Olympiad 2002 Third Round 3/6.

External Links

Concurrent (Wolfram MathWorld)

Incircle (Wolfram MathWorld)

Permanent Citation

Jay Warendorff

"Concurrent Line Segments Related to the Incircle"
http://demonstrations.wolfram.com/ConcurrentLineSegmentsRelatedToTheIncircle/
Wolfram Demonstrations Project
Published: March 7, 2011