Question

Find the exact distance between the points (7,8) and (1,-17)

Answer 1

Distance between (x1,y1) and (x2,y2) is
$D= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
so the distance between (7,8) and (1,-17) is

$D= \sqrt{(1-7)^2+(-17-8)^2}$
$D= \sqrt{(-6)^2+(-25)^2}$
$D= \sqrt{36+225}$
D=√261
D=3√29
the exact distance is 3√29 units