Question : AD is the median of triangle ABC. P is the centroid of triangle ABC. If AP = 14 cm, then what is the length of PD?

Question : $\triangle ABC$ is an equilateral triangle with a side of 12 cm and AD is the median. Find the length of GD if G is the centroid of $\triangle ABC$.

Question : In $\triangle A B C,\ D$ is the mid-point of $BC$ and $G$ is the centroid. If $G D = 10\ \text{cm} $, the length of $AD$ is_____.

Question : The centroid of a $\triangle ABC$ is G. The area of $\triangle ABC$ is 60 cm². The area of $\triangle GBC$ is:

Question : $\triangle ABC \sim \triangle DEF$ and the perimeters of $\triangle ABC$ and $\triangle DEF$ are 40 cm and 12 cm respectively. If DE = 6 cm then AB is: