Question

Triangle KLM is similar to triangle NOP. Find the measure of side NO Round your answer to the nearest tenth. M 13 N 28 K 13 L

Answer 1

Triangle KLM is similar to NOP. Therefore, the ratio can be establish to find the measure of NO.

$\begin{gathered} \frac{KL}{NO}=\frac{LM}{OP} \\ \frac{13}{NO}=\frac{28}{13} \\ \text{cross multiply} \\ 169=28NO \\ \text{divide both sides by 28} \\ NO=\frac{169}{28} \\ NO=6.03571428571 \\ NO=6.0 \end{gathered}$