Similar triangles have their corresponding sides to be in equivalent ratios
The length of PR is 31.5 inches
△WKT∼△NRP means that, the following sides are similar
So, we have the following equivalent ratio
[tex]WK : TK = NR : PR[/tex]
From the complete question, we have the following parameters:
So, the ratio becomes
[tex]14 : 18 = 24.5 : PR[/tex]
Express the ratio as fraction
[tex]\frac{18}{14}= \frac{PR}{24.5 }[/tex]
Multiply both sides by 24.5
[tex]\frac{18}{14} \times 24.5= PR[/tex]
This gives
[tex]\frac{441}{14} = PR[/tex]
Divide 441 by 14
[tex]31.5 = PR[/tex]
Rewrite the above equation as
[tex]PR = 31.5[/tex]
Hence, the length of PR is 31.5 inches
Read more about similar triangles at:
https://brainly.com/question/14285697
