Question

Find the distance AB given these coordinates: A(3,6),B(-2,4)

Answer 1

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\ \quad \\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &A&(~{{ 3}} &,&{{ 6}}~) % (c,d) &B&(~{{ -2}} &,&{{ 4}}~) \end{array}~~ % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ AB=\sqrt{(-2-3)^2+(4-6)^2}\implies AB=\sqrt{(-5)^2+(-2)^2} \\\\\\ AB=\sqrt{25+4}\implies AB=\sqrt{29}$