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The Contact Triangle and Two Other Subtriangles
Let ABC be a triangle. Let A', B', and C' be the vertices of the contact triangle (the triangle with vertices where the incircle touches the sides of ABC). If
,
, and
, then
.
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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The statement of the theorem is in
Problem 110. Contact Triangle, Area, Incircle
.
RELATED LINKS
Contact Triangle
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Contact Triangle and Two Other Subtriangles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheContactTriangleAndTwoOtherSubtriangles/
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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