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The Area of the Excentral Triangle
Let
be the area of the triangle formed by the excenters of a triangle with perimeter
and circumradius
. Then
.
Contributed by:
Jay Warendorff
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See Theorem 233 in N. Altshiller-Court,
College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle
, Mineola, NY: Dover, 2007 p. 113.
RELATED LINKS
Circumcircle
(
Wolfram
MathWorld
)
Circumradius
(
Wolfram
MathWorld
)
Excenter
(
Wolfram
MathWorld
)
Excentral Triangle
(
Wolfram
MathWorld
)
Excircles
(
Wolfram
MathWorld
)
Perimeter
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Area of the Excentral Triangle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheAreaOfTheExcentralTriangle/
Contributed by:
Jay Warendorff
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