Question

$AD$ is the median of a triangle $ABC$ and $O$ is the centroid such that $AO=10cm$. Find length of $OD$ (in cm) is

• A. $2cm$
• B. $4cm$
• C. $5cm$
• D. $7cm$

Answer 1

The correct option is C $5cm$

$\frac{AO}{OD}=\frac{2}{1}$
[centroid divides every median in the ratio of $2:1$]
$\Rightarrow \frac{10}{OD}=\frac{2}{1}\Rightarrow OD=5cm$.