Question

calculate the distance between points (1,3) and (3,4)

Answer 1

Distance between two points is an application of the pythagorean theoream and can be calculated with the following expression:

$d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}$

We have two given pints:

(x1, y1) -> (1, 3)

(x2, y2) -> (3,4)

Then, we can substitute and determine the distance:

$\begin{gathered} d=\sqrt[]{(3-1)^2+(4-3)^2} \\ d=\sqrt[]{2^2+1^2} \\ d=\sqrt[]{5}\text{ units} \\ d\approx2.24\text{ units} \end{gathered}$