Question

Point A has coordinates (2, 4), and point C has coordinates (5, 0). what is AB?

Answer 1

`\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{5}~,~\stackrel{y_2}{0})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ AC=√((5-2)^2+(0-4)^2)\implies AC=√(3^2+(-4)^2) \\\\\\ AC=√(9+16)\implies AC=√(25)\implies AC=5`