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The Product of the Inradius and Semiperimeter of a Triangle
Let ABC be a triangle,
its inradius, and
its semiperimeter. Then
.
Contributed by:
Jay Warendorff
After work by:
Alexander Bogomolny
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A. Bogomolny, "
Relations between Various Elements of a Triangle
,"
Interactive Mathematics Miscellany and Puzzles
.
RELATED LINKS
Incircle
(
Wolfram
MathWorld
)
Inradius
(
Wolfram
MathWorld
)
Semiperimeter
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Product of the Inradius and Semiperimeter of a Triangle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheProductOfTheInradiusAndSemiperimeterOfATriangle/
Contributed by:
Jay Warendorff
After work by:
Alexander Bogomolny
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