Question

Find the distance between the points E(3, 7) and F(6,5).

Answer 1

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ E(\stackrel{x_1}{3}~,~\stackrel{y_1}{7})\qquad F(\stackrel{x_2}{6}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ EF=\sqrt{(6-3)^2+(5-7)^2}\implies EF=\sqrt{3^2+(-2)^2} \\\\\\ EF=\sqrt{9+4}\implies EF=\sqrt{13}\implies EF\approx 3.61$