Question

In the given Figure, AB $\parallel$ QR. Find the length of PB.

Answer 1

As $AB\parallel QR$

$\angle PAB=\angle PQR$

$\angle PBA=\angle PRQ$

and $\angle P$ is the common angle

By $AAA,△PAB\sim △PQR$

Hence $\frac{AB}{QR}=\frac{PB}{PR}$

$\frac{3}{9}=\frac{PB}{6}$

$PB=2cm$