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mathstudent55
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
Yui101
16 might be your answer if not I am truly dearly sorry