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The Product of an Altitude and the Circumradius of a Triangle
Let the circumradius of a triangle ABC be
R
and let AA' be the altitude drawn from A. 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
Altitude
(
Wolfram
MathWorld
)
Circumcircle
(
Wolfram
MathWorld
)
Circumradius
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Product of an Altitude and the Circumradius of a Triangle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheProductOfAnAltitudeAndTheCircumradiusOfATriangle/
Contributed by:
Jay Warendorff
After work by:
Alexander Bogomolny
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