Question

What is the difference between the midpoint of AB and point C if point A is at (6,1), point B is at (-2,5), and point C is at (0,2)?

Answer 1

Given data:

The coordinate of point A is (6, 1).

The coordinate of point B is (-2, 5).

The coordinate of C is (0, 2).

The mid point of AB is,

`\begin{gathered} x=(6-2)/(2) \\ =2 \\ y=(1+5)/(2) \\ =3 \end{gathered}`

The coordinate of mid point is M(2, 3).

The distance CM is,

`\begin{gathered} d=\sqrt[]{(0-2)^2+(2-3)^2} \\ =\sqrt[]{4+1} \\ =\sqrt[]{5} \end{gathered}`

Thus, the distance is (5)^(1/2).