Question

Find the distance between the points (4,3) and (11,4)

Answer 1

$d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} \\d = \sqrt{(11 - 4)^{2} + (4 - 3)^{2}} \\d = \sqrt{(7)^{2} + (1)^{2}} \\d = \sqrt{49 + 1} \\d = \sqrt{50} \\d = \sqrt{25 * 2}} \\d = \sqrt{25}\sqrt{2} \\d = 5\sqrt{2}$