Question

if $qu = 36$, find $qw$.

Explanation:

Step1: Recall the centroid property

In a triangle, the centroid divides each median into a ratio of \(2:1\). Here, \(W\) is the centroid of \(\triangle QRS\) and \(QU\) is a median. So, \(QW=\frac{2}{3}QU\).

Step2: Substitute the value of \(QU\)

Given \(QU = 36\). Substitute into the formula \(QW=\frac{2}{3}\times36\).

$$ QW=\frac{2\times36}{3}=24 $$

Answer:

\(24\)