Question

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

Answer 1

`\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=√(a^2 + b^2) \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{4}\\ b=\stackrel{opposite}{2}\\ \end{cases} \\\\\\ c=√(4^2 + 2^2)\implies c=√(16 + 4)\implies c=√(20)`