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The Area of the Contact Triangle
Let ABC be a triangle,
the radius of its incircle, and
the radius of its circumcircle. The contact triangle A'B'C' is formed by the three points of contact of the incircle with the triangle ABC. Then the area of A'B'C' is
×area(ABC)/(2
).
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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The statement of the theorem is in
Problem 82. Area of the Contact Triangle, Inradius, Circumradius
.
RELATED LINKS
Circumcircle
(
Wolfram
MathWorld
)
Contact Triangle
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Area of the Contact Triangle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheAreaOfTheContactTriangle/
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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