Question

In $\Delta$PQR, MN is parallel to QR and $\frac{PM}{MQ}=\frac{2}{3}$. Find $\frac{MN}{QR}$.

Answer 1

$\frac{PM}{PQ}=\frac{PM}{PM+MQ}=\frac{2}{2+3}=\frac{2}{5}$

Since $MN||QR$, we have, $△PMN$ is similar to $△PQR$

$\Rightarrow \frac{PM}{PQ}=\frac{MN}{QR}=\frac{2}{5}$