Question

What is the length of PR?

Answer 1

Answer:

Option A. The length of $\overline{P R}$ is 6 units.

Solution:

As shown in the picture for two triangle $\Delta A B C, \Delta P Q R$

$\angle A B C=\angle P Q R \text { and } \angle A C B=\angle P R Q$

Hence the ratio of the sides of these angles for both the triangles will be same.

Here AB =20, AC = 24, PQ = 5 and PR = x

So as the ratio is same, hence,

$\frac{P Q}{A B}=\frac{P R}{A C}$

$\Rightarrow \frac{5}{20}=\frac{x}{24}$

$\Rightarrow \frac{1}{4}=\frac{x}{24}$

$\Rightarrow x=\frac{24}{4}=6$

So, the value of $\overline{P R}$ =6  units