Respuesta :

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.
kudzordzifrancis
ANSWER

The measure of side PR is
[tex]10 \: cm[/tex]


EXPLANATION

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


This implies that,

[tex] \frac{|QR|}{|KL|} = \frac{|PR|}{|JL|} [/tex]




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

[tex] \frac{15}{9} = \frac{|PR|}{6} [/tex]



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


[tex] \frac{15}{9} \times 6= |PR| [/tex]


We simplify further to obtain,

[tex] \frac{15}{3} \times 2= |PR| [/tex]




[tex] 5 \times 2= |PR| [/tex]


[tex] |PR| = 10 \: cm[/tex]


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