Distances from the Centroid
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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:
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Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA
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Based on problem 723(b) in Crux Mathematicorum.
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"Distances from the Centroid"
http://demonstrations.wolfram.com/DistancesFromTheCentroid/
Wolfram Demonstrations Project
Published: March 7 2011