ABC is an equilateral triangle with a side of 12 cm and AD is the median. Find the length of GD if G is the centroid of △ABC.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 2√3 cm
GD = 1/3 × the height of the equilateral triangle.
Height of the triangle = √3/2 × 12 = 6√3.
GD = 1/3 × 6√3 = 2√3.