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The Area of the Pedal Triangle of the Centroid
Connect the feet of the perpendiculars from the centroid of the triangle ABC to its sides to form the pedal triangle
of the centroid. Let the area of
be
and the area of ABC be
. Then
.
Contributed by:
Jay Warendorff
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See Problem 5 in N. Altshiller-Court,
College Geometry
, 2nd ed., Mineola, NY: Dover, 2007 p. 71.
RELATED LINKS
Triangle Median
(
Wolfram
MathWorld
)
Pedal Triangle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Area of the Pedal Triangle of the Centroid
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheAreaOfThePedalTriangleOfTheCentroid/
Contributed by:
Jay Warendorff
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