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Distances from the Centroid
Let G be the centroid of the triangle ABC. Let A', B', and C' be the points on the circumcircle opposite to A, B, and C with respect to G. Then:
.
You can drag A, B, or C to change the figure.
Contributed by:
Jay Warendorff
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Based on problem 723(b) in
Crux Mathematicorum
.
RELATED LINKS
Circumcircle
(
Wolfram
MathWorld
)
Triangle Centroid
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Distances from the Centroid
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/DistancesFromTheCentroid/
Contributed by:
Jay Warendorff
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