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△ABC∼△LMN , AB is 8 inches, ​ BC ​ is 14 inches, and LM is 12 inches.

What is ​​ MN ?

User Shaybc
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2 Answers

5 votes
16 might be your answer if not I am truly dearly sorry
User Cristian Scheel
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Similar triangles have side lengths that are proportional.
We setup a proportion using the given information.

AB/LM = BC/MN

8/12 = 14/MN

8(MN) = 12 * 14

8(MN) = 168

MN = 168/8

MN = 21
User Chrisst
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5.2k points