Answer:
Option B. 36
Step-by-step explanation:
From the figure attached,
ΔLMN ~ ΔPON
Therefore, corresponding sides of these similar triangles will be in the same ratio.
[tex]\frac{LM}{OP}=\frac{MN}{ON}=\frac{LN}{PN}[/tex]
[tex]\frac{LM}{OP}=\frac{MN}{ON}[/tex]
[tex]\frac{42}{14}=\frac{x}{12}[/tex]
x = [tex]\frac{42\times 12}{14}[/tex]
x = 36
Therefore, measure of side MN = x = 36 units
Option B. will be answer.
