Question

Find the distance between the pair of points. (10,6) and (2,21)

Answer 1

the formula of the distance is

$d=\sqrt[]{(x2-x1)^2+(y2+y1)^2}$

where (x1,y1) and (x2,y2) are the points

so replacing

$\begin{gathered} d=\sqrt[]{(10-2)^2+(6-21)^2} \\ \\ d=\sqrt[]{8^2+(-15)^2} \\ \\ d=\sqrt[]{64+225} \\ \\ d=\sqrt[]{289}=17 \end{gathered}$

the distance is 17 units