Question

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

Answer 1

Option B. 36

Explanation:

From the figure attached,

ΔLMN ~ ΔPON

Therefore, corresponding sides of these similar triangles will be in the same ratio.

`(LM)/(OP)=(MN)/(ON)=(LN)/(PN)`

`(LM)/(OP)=(MN)/(ON)`

`(42)/(14)=(x)/(12)`

x =
`(42* 12)/(14)`

x = 36

Therefore, measure of side MN = x = 36 units

Option B. will be answer.