Question

Find the length of side LM. Write your answer in simplest radical form. SHOW ALL WORK.

Answer 1

$\begin{gathered} (LM)^2=8^2+18^2 \\ LM\text{ =}\sqrt[]{64+324} \\ LM\text{ = }\sqrt[]{388} \\ LM\text{ =}19.6977156 \end{gathered}$

In the simplest radical form

$\begin{gathered} LM\text{ = }\sqrt[]{4\text{ }}\times\sqrt[]{97} \\ LM\text{ = 2}\sqrt[]{97} \end{gathered}$