Quantitative Aptitude Ques 886

Question: If G is the centroid and AD is the median of $ \Delta ABC $ and $ AG=4cm, $ then DG is equal to

Options:

A) $ 2cm $

B) $ 3cm $

C) $ 4cm $

D) $ 5cm $

Show Answer

Answer:

Correct Answer: A

Solution:

  • G is the centroid, i.e. G is the point of intersection of medians as shown in the figure below In $ \Delta ABC, $ AD is the median and G is centroid. We know that, medians intersect each other such that each median split in the ratio of 1: 2 from the base side.

$ \therefore $ $ \frac{GD}{AG}=\frac{1}{2} $

$ \Rightarrow $ $ GD=\frac{1}{2}\times AG $ $ =\frac{1}{2}\times 4=2cm $ $ [\because AG=4cm] $

$ \therefore $ Value of DG = 2 cm