Question

What is the distance between (5,6) and (5,8) ?

Answer 1

The distance between two points is given by the following formula:

`d=\sqrt[]{(y2-y1)^2+(x2-x1)^2}`

Where (x1,y1) and (x2,y2) are the coordinates of the two points.

By replacing the known values we can solve for d as follows:

`\begin{gathered} d=\sqrt[]{(8-6)^2+(5-5)^2} \\ d=\sqrt[]{(2)^2+(0)^2} \\ d=\sqrt[]{4+0} \\ d=\sqrt[]{4} \\ d=2 \end{gathered}`

Therefore, the distance between (5,6) and (5,8) is 2.