centroidCentroid2001-10-31 00:35:232006-11-03 12:19:03Definition\usepackage{amssymb}
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The \emph{centroid} of a triangle (also called \emph{center of gravity} of
the triangle) is the point where the three medians intersect each other.
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In the figure, $AA', BB'$ and $CC'$ are medians and $G$ is the centroid of $ABC$.
The centroid $G$ has the property that divides the medians in the ratio $2:1$, that is
$$AG=2GA'\quad BG=2GB'\quad CG=2GC'.$$