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Tangents to an Excircle
A circle drawn outside a triangle that is tangent to the extensions of two of its sides and to the third side is an excircle.
Let ABC be a triangle. Construct the excircle with center O opposite A. Let D and E be the points of intersection between the line perpendicular to AO and the extensions of AB and AC. Then .



The statement of the theorem is in Problem 66. Triangle, Excircle, Tangents, Geometric Mean.


"Tangents to an Excircle" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/TangentsToAnExcircle/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez
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