Question

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

Answer 1

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