Question

For each set of points below determine the distance between them using the distance formula. Express each answer in simplest radical form.

Answer 1

Given data:

The given points are (5, 4) and (-1, 14).

The distance between the given points is,

`\begin{gathered} d=\sqrt[]{(-1-5)^2+(14-4)^2} \\ =\sqrt[]{36+100} \\ =\sqrt[]{136} \\ =2\sqrt[]{34} \end{gathered}`

Thus, the distance between the given points is 2√(34).