Question
Find QP using given information in the figure.
✓
Answer
Theorem: The bisector of an angle of a triangle divides the side opposite to the angle in the ratio of the remaining sides.And ∵ NQ is angle bisector of ∠N
$\Rightarrow \frac{M Q}{Q P}=\frac{M N}{N P} $
$ \Rightarrow \frac{14}{Q P}=\frac{25}{40} $
$\Rightarrow Q P=\frac{14 \times 40}{25}$
⇒ QP = 22.4
$\Rightarrow \frac{M Q}{Q P}=\frac{M N}{N P} $
$ \Rightarrow \frac{14}{Q P}=\frac{25}{40} $
$\Rightarrow Q P=\frac{14 \times 40}{25}$
⇒ QP = 22.4
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