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Altitudes and Incircles
Let ABC be an acute triangle with altitudes AA', BB', and CC'. The sum of the altitudes is equal to the sum of the semiperimeter
and the radii
of the six incircles of the triangles XYZ formed by the altitudes and the sides:
.
Contributed by:
Jay Warendorff
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Altitude
(
Wolfram
MathWorld
)
Acute Triangle
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
Inradius
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Altitudes and Incircles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/AltitudesAndIncircles/
Contributed by:
Jay Warendorff
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