Question

Triangle JKL and triangle PQR are similar. What is the measure is side PR?

Answer 1

Its 10 cm because 15/9 on one side is 1.6666666 or 5/3 that will have to be your scale factor from going from small to big. So 6 time 5/3 will get you 10.

Answer 2

ANSWER

The measure of side PR is
$10 \: cm$


EXPLANATION

Since the two triangles are similar, the ratio of corresponding sides are proportional.


This implies that,

$\frac{|QR|}{|KL|} = \frac{|PR|}{|JL|}$




We now substitute the values of the corresponding sides to obtain,

$\frac{15}{9} = \frac{|PR|}{6}$



We multiply both sides if the equation by 6 to obtain,


$\frac{15}{9} \times 6= |PR|$


We simplify further to obtain,

$\frac{15}{3} \times 2= |PR|$




$5 \times 2= |PR|$


$|PR| = 10 \: cm$