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The Product of the Distances of the Incenter to the Vertices
Let ABC be a triangle and I the incenter. Let
be the circumradius and
the inradius. Then
.
Contributed by:
Jay Warendorff
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See problem 84 in N. Altshiller-Court,
College Geometry
, Mineola, NY: Dover, 2007 p. 121.
RELATED LINKS
Circumcenter
(
Wolfram
MathWorld
)
Circumcircle
(
Wolfram
MathWorld
)
Circumradius
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
Inradius
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Product of the Distances of the Incenter to the Vertices
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheProductOfTheDistancesOfTheIncenterToTheVertices/
Contributed by:
Jay Warendorff
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