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The triangles shown are similar. Which side of triangle PQR corresponds to side LN in triangle MNL? Triangle L N P. Side L N is 12, N M is 10, M L is 14. Triangle P R Q. Side P R is 28, R Q is 24, Q P is 20. RQ PQ PR LM

The triangles shown are similar Which side of triangle PQR corresponds to side LN in triangle MNL Triangle L N P Side L N is 12 N M is 10 M L is 14 Triangle P R class=

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Answer:

The side on triangle PQR that corresponds to side LN in triangle MNL is side QR.

Step-by-step explanation:

Triangle PQR is a dilated version of triangle LMN, specifically a dilation of 2, since LN = 12, the corresponding side to it on triangle PQR is side QR because it is twice as big as side LN, which is the dilation value for converting triangle LMN to triangle PQR.

The side of triangle PQR corresponds to side LN in triangle MNL will be QR.

What are similar triangles?

Similar triangle are those which have two pairs of interior corresponding angles are equal or two pairs of corresponding sides are in proportion.

We have,

Two triangles as shown in the given figure,

Now,

Using triangle similarity rule,

i.e.

Sides are in equal proportion,

i.e.

[tex]\frac{LM}{PR} =\frac{MN}{PQ} =\frac{LN}{QR}[/tex]

So,

Put values of sides ,

[tex]\frac{14}{28} =\frac{10}{20} =\frac{12}{24}[/tex]

i.e.

[tex]\frac{1}{2} =\frac{1}{2} =\frac{1}{2}[/tex]

So,

All sides in proportion according to the question,

Now,

The side which is in proportion to side LN is QR.

Hence, we can say that the side of triangle PQR corresponds to side LN in triangle MNL will be QR.

To know more about similar triangle click here

https://brainly.com/question/12460919

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