Question

Find the length of the third side. If necessary, write in simplest radical form.10V19

Answer 1

Using the Pythagorean theorem

$a^2+b^2=c^2$

solve for the side

$\begin{gathered} a^2=c^2-b^2 \\ a=\sqrt[]{c^2-b^2} \\ a=\sqrt[]{10^2-(\sqrt[]{19})^2} \\ a=\sqrt[]{100-19} \\ a=\sqrt[]{81} \\ a=9 \end{gathered}$