Question

Find the distance between the following pair of points

(3, 4) and (−7, 2)

Answer 1

Distance between the points (3, 4) and (−7, 2)

= ${\displaystyle \sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}}$

= ${\displaystyle \sqrt{{(-7-3)}^2+{(2-4)}^2}}$

= ${\displaystyle \sqrt{{(-10)}^2+{(-2)}^2}}$

= ${\displaystyle \sqrt{100+4}}$

= ${\displaystyle \sqrt{104}}$

= ${\displaystyle \sqrt{2\times 2\times 13}}$

= ${\displaystyle 2\sqrt{26} \text{units}}$