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The Product of the Inradius and Three Exradii
Let ABC be a triangle with area
and let
be its inradius. Let
,
, and
be the exradii of the excircles opposite A, B, and C, respectively. Then
.
Contributed by:
Jay Warendorff
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Excircles
(
Wolfram
MathWorld
)
Exradius
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
Inradius
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Product of the Inradius and Three Exradii
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheProductOfTheInradiusAndThreeExradii/
Contributed by:
Jay Warendorff
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