Question

∆LMN ∼ ∆PON. What is the value of x? Select one: a. 28 1/3 b. 36 c. 20 d. 25

Answer 1

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.

$\frac{LM}{OP}=\frac{MN}{ON}=\frac{LN}{PN}$

$\frac{LM}{OP}=\frac{MN}{ON}$

$\frac{42}{14}=\frac{x}{12}$

x = $\frac{42\times 12}{14}$

x = 36

Therefore, measure of side MN = x = 36 units

Option B. will be answer.