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The Distances to the Incenter and Excenters from the Circumcenter
Let ABC be a triangle with circumradius
, circumcenter O, and incenter I. Let A', B', and C' be the radii of the excircles opposite A, B, and C, respectively. Then
.
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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The statement of the theorem is in
Problem 159. Distances from the Circumcenter to the Incenter and the Excenters
.
RELATED LINKS
Circumcircle
(
Wolfram
MathWorld
)
Circumradius
(
Wolfram
MathWorld
)
Excircles
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
Inradius
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Distances to the Incenter and Excenters from the Circumcenter
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheDistancesToTheIncenterAndExcentersFromTheCircumcenter/
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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