Question

Help!!!;—;Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side MN.Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.NJKO2113H50IML

Answer 1

The quadilateral HIJK is similar to quadilateral LMNO, means ratio of corresponding sides are equal. So,

`(KH)/(OL)=(JI)/(MN)`

Substitute the length of sides in the equation to determine the length of side MN.

`\begin{gathered} (13)/(50)=(21)/(MN) \\ MN=21\cdot(50)/(13) \\ =80.76 \\ \approx80.8 \end{gathered}`

So length of MN is 80.8.