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 = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ EF=√((6-3)^2+(5-7)^2)\implies EF=√(3^2+(-2)^2) \\\\\\ EF=√(9+4)\implies EF=√(13)\implies EF\approx 3.61`