Question

Find the distance between the point (3, 4) and (8, -6)

Answer 1

Answer:

$x _{1} = 3 \: x_{2} = 8 \: y _{1} = 4 \: y_{2} = ( - 6) \\ Therefore, \: the \: distance \: between \: the \: point \\ = \sqrt{ {(x _{2} - x_{1}) }^{2} + {(y_{2} - y _{1}}^{2}) } \\ = \sqrt{ {(8 - 3)}^{2} + {( - 6 - 4)}^{2} } \\ = \sqrt{ {(5)}^{2} + {( - 10)}^{2} } \\ = \sqrt{25 + 100} \\ = \sqrt{125} \\ =5 \sqrt{5}$