Tangents to an Excircle
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
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.[more]
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 .[less]
Contributed by: Jay Warendorff (March 2011)
After work by: Antonio Gutierrez
Open content licensed under CC BY-NC-SA
The statement of the theorem is in Problem 66. Triangle, Excircle, Tangents, Geometric Mean.
"Tangents to an Excircle"
Wolfram Demonstrations Project
Published: March 7 2011