ABC is an equilateral triangle with side 12 cm and AD is the median. Find the length of GD is G is the centroid of ΔABC.

Answer: Option D

Solution

Answer: Option D

Solution:

$$\begin{array}{rl}& \text{AD}=\frac{\sqrt{3}}{2}\times \text{Side}\\ & \text{AD}=\frac{\sqrt{3}}{2}\times 12=6\sqrt{3}\\ & \text{GD}=6\sqrt{3}\times \frac{1}{3}=2\sqrt{3}\text{ cm}\end{array}$$