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.
[tex]\frac{AB}{LM}=\frac{BC}{MN}[/tex]
[tex]\frac{8}{12}=\frac{14}{MN}[/tex]
[tex]8\times MN=14\times 12[/tex]
Divide both sides by 8.
[tex]MN=\frac{168}{8}[/tex]
[tex]MN=21[/tex]
Therefore we can say that if △ABC∼△LMN, then the measure of MN is 21 inches.
