question_answer

AD is the median of a\[\Delta ABC,\]and O is the centroid such that \[AO=10\,\,cm\] The length of OD (in cm) is                                                                                                                                   [SSC (FC1) 2012]

A) 4                                 

B) 5   

C) 6                                 

D) 8

Correct Answer: B

Solution :

  

Point O is the centroid and we know that centroid divides the median in ratio 2:1.

\[\therefore \]      \[OD=\frac{AO}{2}=\frac{10}{2}\]

\[\therefore \]      \[OD=5\,\,cm\]