Theorem: The bisector of an angle of a triangle divides the side opposite to the angle in the ratio of the remaining sides. And $\because NQ$ is angle bisector of $\angle N$ $\begin{array}{l} \Rightarrow \frac{ MQ }{ QP }=\frac{ MN }{ NP } \\ \Rightarrow \frac{14}{ QP }=\frac{25}{40} \\ \Rightarrow Q P=\frac{14 \times 4 0}{25} \\ \Rightarrow Q P=22.4 \end{array}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.