Question

In ACDE, J is the centroid. If JG=21 find CG. D F G C E H

Answer 1

Let's begin by identifying key information given to us:

We have triangle CDE

J is the centroid

`\begin{gathered} JG=21 \\ \text{The centroid of a triangle divides }\frac{2}{3\text{ }}\text{the distance from}verte\text{x to midpoint of the sides} \\ \Rightarrow JG=(2)/(3)CG \\ \Rightarrow21=(2)/(3)CG=(63)/(2) \\ \therefore CG=(63)/(2)=31.5 \end{gathered}`