Let's identify key information given us:
Using Pythagoras Theorem to solve for x we have:
[tex]\begin{gathered} c^2=x^2+b^2 \\ x^2=c^2-b^2 \\ x=\sqrt[]{c^2-b^2} \\ x=\text{?},b=10,c=17 \\ x=\sqrt[]{17^2-10^2} \\ x=\sqrt[]{289-100} \\ x=\sqrt[]{189}=13.7477\approx13.75 \\ x=13.75 \end{gathered}[/tex]
