Question

△ABC∼△LMN , AB is 8 inches, ​ BC ​ is 14 inches, and LM is 12 inches. What is ​​ MN ? Enter your answer in the box.

Answer 1

Answer:

The measure of MN is 21 inches.

Step-by-step explanation:

It is given that △ABC∼△LMN.

The corresponding sides of two similar triangles are proportional.

$\frac{AB}{LM}=\frac{BC}{MN}$

$\frac{8}{12}=\frac{14}{MN}$

$8\times MN=14\times 12$

Divide both sides by 8.

$MN=\frac{168}{8}$

$MN=21$

Therefore we can say that if △ABC∼△LMN, then the measure of MN is 21 inches.

Answer 2

AB/LM = BC/MN

8/12 = 14/MN

8(MN) = 12 * 14

8(MN) = 168

MN = 168/8

MN = 21 Hope this helps and please mark as brainliest!