Question

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

• A. 7 cm
• B. 8 cm
• C. 9 cm
• D. 10 cm

Answer 1

Answer: (B)

8 cm

Centroid $G$ divides $AD$ in the ratio $2:1$

Let $AG=2x$ and $GD=x$

$2x+x=12$

$3x=12$

$x=4$

$AG=2x=2\times 4=8$ cm