Question

Learn with an exampleFind the distance between the points (2, 4) and (5,8).Write your answer as a whole number or a fully simplified radical expression. Do not round.units

Answer 1

1) We can find the distance between two points in the coordinate plane, by using the distance formula, derived from the Pythagorean Theorem:

`\begin{gathered} d\text{ =}\sqrt[]{(x_2-x_1)^2+(y_2-y}_1)^2_{} \\ d\text{ =}\sqrt[]{(5-2)^2+(8-4)^2} \\ d=5 \end{gathered}`

2) So the distance between those points is 5 units.