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

asked Sep 28, 2023 193k views

1 vote

by Avani

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4 votes

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

In the simplest radical form

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

Ram Mandal answered Oct 2, 2023

6.4k points

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