Question

What is the length of the distance between the two points of (6,-2)

and (3, 4)?
O √13
O √45
O √65
O √117

Answer 1

`\sqrt {45}`

Explanation:

Distance between two points, (x1, y1) and (x2, y2) in a 2D cartesian coordinate is given by

`d = \sqrt {(x_(2) - x_(1))^2 + (y_(2) - y_(1))^2}`

here the points are (6, - 2) and (3, 4)

We get

`d = \sqrt {(3 - 6)^2 + (4 - (-2))^2}\\\\d = \sqrt {(-3)^2 + (6)^2}\\\\d = \sqrt {{9} + {36}}\\\\d = \sqrt {45}`