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The Distance from the Circumcenter to an Excenter
Let ABC be a triangle with circumcenter O and let E be the excenter of the excircle opposite A. Let
be the circumradius and
the exradius. Then
.
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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The statement of the theorem is in
Problem 157. Distance from the Circumcenter to the Excenter
.
RELATED LINKS
Circumcircle
(
Wolfram
MathWorld
)
Circumradius
(
Wolfram
MathWorld
)
Excircles
(
Wolfram
MathWorld
)
Exradius
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Distance from the Circumcenter to an Excenter
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheDistanceFromTheCircumcenterToAnExcenter/
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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