Question

In the diagram, MN is parallel to KL. What is the length of MN? K M 24 cm 6 cm 2 12 cm L O A. 6 cm O B. 18 cm O c. 12 cm D. 8 cm

Answer 1

`MN\text{ = 8 CM}`

To solve this question, we shall be using the principle of similar triangles

Firstly, we identify the triamgles

These are JKL and JMN

JKL being the bigger and JMN being the smaller

Mathematically, when two triangles are similar, the ratio of two of their corresponding sides are equal

Thus, we have it that;

`\begin{gathered} (JN)/(MN)\text{ = }(JL)/(KL) \\ \\ (6)/(MN)=\text{ }(18)/(24) \\ \\ MN\text{ = }(24*6)/(18) \\ MN\text{ = 8 cm} \end{gathered}`