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

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asked Dec 21, 2018 169k views

5 votes

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

Mathematics
high-school

Axis asked

by Axis

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1 Answer

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

Bastelflp answered Dec 25, 2018