Question

Find the distance between the point $(2,3)$and$(4,1)$

Answer 1

Solve for the distance between two points

Given points are $(2,3)$and$(4,1)$

Let $d$ be the distance between two points and distance formula to find the distance between two points $(x_1,y_1)$ and $\left(x_2,y_2\right)$ is

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

Say $x_1=2,x_2=4,y_1=3,y_2=1$

Substitute the values in formula

$$\begin{gathered} d=\sqrt{{\left(4-2\right)}^2+{\left(1-3\right)}^2} \\ =\sqrt{{\left(2\right)}^2+{\left(-2\right)}^2} \\ =\sqrt{8} \\ =2\sqrt{2} \end{gathered}$$

Hence the required distance is $2\sqrt{2}units$