What is the distance between (3, 2) and (8, 8)?

1 Answer
Jun 20, 2018

Consider $M \left(3 , 2\right)$ , $N \left(8 , 8\right)$

The distance between two points is given by

${d}_{M N} = \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}} =$

$\sqrt{{\left(8 - 3\right)}^{2} + {\left(8 - 2\right)}^{2}} = \sqrt{{5}^{2} + {6}^{2}} = \sqrt{36 + 25} = \sqrt{61}$