In \(\triangle XYZ\), Q is the centroid and XL is a median of length 24 cm. What is the length of XQ?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 16 cm
The centroid lies on every median and divides it in the ratio 2 : 1, the longer part being on the side of the vertex.
XQ : QL \(=2:1\), so XQ is \(\frac{2}{3}\) of XL
XQ \(\displaystyle=\frac{2}{3}\times24=16\,\mathrm{cm}\)