[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{14})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(8-3)^2+(14-2)^2}\implies d=\sqrt{5^2+12^2} \\\\\\ d=\sqrt{169}\implies d=13[/tex]