Question

In given figure PQ is parallel to MN. If $\frac{KP}{PM}=\frac{4}{13}$ and $KN=20.4cm$ Find KQ,

Answer 1

In $\Delta KMN$, as $PQ\parallel MN$, so,

$\frac{KP}{PM}=\frac{KQ}{QN}$

$\Rightarrow \frac{KP}{PM}=\frac{KQ}{KN-KQ}$

$\Rightarrow \frac{4}{13}=\frac{KQ}{20.4-KQ}$

$\Rightarrow 4\left(20.4-KQ\right)=13KQ$

$\Rightarrow KQ=\frac{81.6}{17}$

$KQ=4.8cm$