mimireed1025
mimireed1025 mimireed1025
  • 01-03-2018
  • Mathematics
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△ABC∼△LMN , AB is 8 inches, ​ BC ​ is 14 inches, and LM is 12 inches. What is ​​ MN ? Enter your answer in the box.

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DelcieRiveria DelcieRiveria
  • 19-02-2019

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.

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