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

The measure of MN is 21 inches.

Explanation:

It is given that △ABC∼△LMN.

The corresponding sides of two similar triangles are proportional.

`(AB)/(LM)=(BC)/(MN)`

`(8)/(12)=(14)/(MN)`

`8* MN=14* 12`

Divide both sides by 8.

`MN=(168)/(8)`

`MN=21`

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