Question

12 ft.
5 ft.
What is the length of the hypotenuse? If necessary
feet

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}{12}\\ b=\stackrel{opposite}{5}\\ \end{cases} \\\\\\ c=√(12^2 + 5^2)\implies c=√(144+25)\implies c=√(169)\implies c=13`