Question

What is the length of pr?

Answer 1

x/27 = 7/21
21x = 27*7
21x = 189
x = 9

Answer 2

ANSWER

The length of PR is

`9 \: \: units`



EXPLANATION

The two triangles are similar. Therefore their corresponding sides are proportional.



`(|PR|)/( |XZ |) = (|PQ|)/(|XY|)`

We substitute the length of the known sides to obtain,


`(|PR|)/( 27) = (7)/(21)`


We now multiply both sides by 27 to get,




`|PR| = (7)/(21) * 27`



This simplifies to



`|PR| = (1)/(3) * 27`




This gives us,



`|PR| = 9 \: units`



The correct answer is C