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,

$\frac{KH}{OL}=\frac{JI}{MN}$

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

$\begin{gathered} \frac{13}{50}=\frac{21}{MN} \\ MN=21\cdot\frac{50}{13} \\ =80.76 \\ \approx80.8 \end{gathered}$

So length of MN is 80.8.