Question

In $△ABC$, line $PQ\parallel$ side $BC$. Find the value of $x$ from the information given in the following figure.

Answer 1

Using Basic Proportionality Theorem,

$\frac{AP}{PB}=\frac{AQ}{QC}$

$\Rightarrow \frac{x}{4}=\frac{15}{5}=3$

$\Rightarrow x=4\times 3=12$