Question

If G is the centroid and AD be a median with length $12$ cm of $\Delta ABC$, then the value of AG is

• A. $4$ cm
• B. $8$cm
• C. $10$ cm
• D. $6$ cm

Answer 1

The correct option is B $8$cm

We know that G is centroid of $\Delta ABC$

$AD=12$cm

Centroid $\to$ intersection point of medians

Centroid divides median in ratio of $2:1$

$\frac{AG}{AD}=\frac{2}{1}$

$AG=2AD$

$AG+GD=12$

$3GD=12$

$GD=4$cm

$AG=8$cm.