Question

Find the distance and the midpoint for each set of points given

Answer 1

Given,

The coordinates of the points are (2,6) and (7, 2).

Required:

The distance between the points and the midpoint of the points.

The distance between two points is calculated as,

`\begin{gathered} Distance\text{ =}√((x_2-x_1)^2+(y_2-y_1)^2) \\ =√((7-2)^2+(2-6)^2) \\ =√(5^2+4^2) \\ =√(25+16) \\ =√(41) \\ =6.4 \end{gathered}`

Hence, the distance between the points is 6.4

The midpoint is calculated as,

`\begin{gathered} Midpoint=((2+7)/(2),(6+2)/(2)) \\ =(9)/(2),(8)/(2) \\ =(4.5,4) \end{gathered}`

Hence, the midpoint is (4.5,4).