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A Line Associated with an Excircle
An excircle is a circle drawn outside a triangle that is tangent to the extensions of two of its sides and to the third side.
Let ABC be a triangle. Then these three points are collinear: (1) the point of tangency of the excircle opposite A, (2) the incenter of ABC, and (3) the midpoint of the altitude of ABC from A.



See problem 5 in Classical Theorems in Plane Geometry.


"A Line Associated with an Excircle" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/ALineAssociatedWithAnExcircle/
Contributed by: Jay Warendorff
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