Question

If A=(4,5) and B=(7,-9), what is the length of segment AB

Answer 1

`\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{7}~,~\stackrel{y_2}{-9})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ AB=√((7-4)^2+(-9-5)^2)\implies AB=√(3^2+(-14)^2) \\\\\\ AB=√(9+196)\implies AB=√(205)\implies AB\approx 14.32`