question_answer

AD is the median of a \[\Delta ABC\] and O is the centroid such that AO= 10 cm. The length of OC in cm is

A)  4        

B)         5

C)  6                    

D)  8

Correct Answer: B

Solution :

\[\because \frac{AO}{OD}=\frac{2}{1}\Rightarrow \frac{10}{OD}=\frac{2}{1}\] \[\Rightarrow \]\[OD=\frac{10\times 1}{2}\,\,\,\,\,\,\,\Rightarrow OD=5\,\,cm\]