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How do you find the missing length when the triangles in each pair are similar?

How do you find the missing length when the triangles in each pair are similar?-example-1

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Explanation:

Because the two triangles are similar the order of the angles are the similar angles as well so

Q is similar, or in this case because they are equal, to M

And R is equal to N

So line PQ is similar to PM.

You would then find the rate that triangle PMN is smaller then PQR

So it would be 70 / 10 = 7

And line RP and NP are similar and because we have the length of of the smaller triangle, you would just multiply 7 by 7

And 7 times 7 is 49

So the missing length is 49.

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