Question

Finish the length of the third side if necessary right in simplest radical form

Answer 1

To find the missing leg, we use Pythagorean's Theorem

`c^2=a^2+b^2`

Where c = 6 and a = 3. Let's use these values to find b-

`\begin{gathered} 6^2=3^2+b^2 \\ b^2=36-9 \\ b=\sqrt[]{27} \\ b=\sqrt[]{9\cdot3} \\ b=3\sqrt[]{3} \end{gathered}`

Hence, the length of the third side is

`b=3\sqrt[]{3}`