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The Semiperimeter and Tangents to Excircles
Let ABC be a triangle. Construct the excircle opposite A and let D and E be the intersections of the extensions of AB and AC with the excircle. Let
be the semiperimeter of ABC. Then
= AD = AE.
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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The statement of the theorem is in
Problem 140. Triangle, Excircle, Tangent, Semiperimeter
.
RELATED LINKS
Excircles
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Semiperimeter and Tangents to Excircles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheSemiperimeterAndTangentsToExcircles/
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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