Chapter E, Problem 10.11EX

To determine

To find: The Value of AD .

Answer to Problem 10.11EX

The Value of $AD=12$ .

Explanation of Solution

Given information:In $\Delta ABC$ , $\overline{AD}$ and $\overline{BE}$ are medians. If $AG=8$

Calculation:

In $\Delta ABC$ , $\overline{AD}$ and $\overline{BE}$ are medians. If $AG=8$

Point G is the centroid of $\Delta ABC$ .

And centroid divides medians in $2:1$ .

  $\begin{array}{l}\therefore \frac{AG}{AD}=\frac{2}{3}\\ \text{Given }AG=8\\ \frac{8}{AD}=\frac{2}{3}\\ AD=12\end{array}$