# centroid

The centroid of a triangle (also called center of gravity of the triangle) is the point where the three medians intersect each other.

In the figure, $AA^{\prime},BB^{\prime}$ and $CC^{\prime}$ 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

 $AG=2GA^{\prime}\quad BG=2GB^{\prime}\quad CG=2GC^{\prime}.$
 Title centroid Canonical name Centroid Date of creation 2013-03-22 11:55:44 Last modified on 2013-03-22 11:55:44 Owner drini (3) Last modified by drini (3) Numerical id 11 Author drini (3) Entry type Definition Classification msc 51-00 Synonym barycenter Synonym center of gravity Related topic Median Related topic Orthocenter Related topic Triangle Related topic EulerLine Related topic CevasTheorem Related topic CenterOfATriangle Related topic LemoinePoint Related topic GergonneTriangle Related topic TrigonometricVersionOfCevasTheorem