In \(\triangle ABC\), G is the centroid and AD is a median of length 27 cm. What is the length of AG?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 18 cm
The three medians meet at the centroid, which divides each median in the ratio 2 : 1, the longer part being on the vertex side.
AG : GD \(=2:1\), so AG \(=\displaystyle\frac{2}{3}\) of AD
AG \(=\displaystyle\frac{2}{3}\times27=18\) cm (and GD \(=9\) cm)
