Question

What is the length of PR?

Answer 1

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,

`(P Q)/(A B)=(P R)/(A C)`

`\Rightarrow (5)/(20)=(x)/(24)`

`\Rightarrow (1)/(4)=(x)/(24)`

`\Rightarrow x=(24)/(4)=6`

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