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:



You can drag A, B, or C to change the figure.


Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA



Based on problem 723(b) in Crux Mathematicorum.

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