G is the centroid of the triangle ABC. where AB, BC and CA are 7 cm, 24 cm and 25 cm respectively. than BG is:

A. $$6\frac{1}{3}{\text{ cm}}$$

B. $$8\frac{1}{3}{\text{ cm}}$$

C. $$5\frac{1}{2}{\text{ cm}}$$

D. $$4\frac{1}{6}{\text{ cm}}$$

Answer: Option B

Solution (By Examveda Team)

$$\eqalign{ & BD = \frac{{25}}{2} \cr & BG = BD \times \frac{2}{3} = \frac{{25}}{2} \times \frac{2}{3} = 8\frac{1}{3}{\text{ cm}} \cr} $$