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Area of a Triangle inside the Incircle
Let ABC be a triangle,
the radius of its incircle, and
the radius of its circumcircle. Let D and E be the feet of the perpendiculars drawn from the center I of the incircle onto AB and AC, respectively. Then the area of the triangle IDE is
.
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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The statement of the theorem is in
Problem 81. Triangle Area, Side, Inradius, Circumradius
.
RELATED LINKS
Circumcircle
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Area of a Triangle inside the Incircle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/AreaOfATriangleInsideTheIncircle/
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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