Question

Find the distance between the following pairs of points $(2,0)$ and $(0,3)$.

Answer 1

We know that the distance between the two points $(x_1,y_1)$ and $(x_2,y_2)$ is

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

Here, the given points are $(2,0)$ and $(0,3)$, therefore,

$d=\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}=\sqrt{{(0-2)}^2+{(3-0)}^2}=\sqrt{{(-2)}^2+3^2}=\sqrt{4+9}=\sqrt{13}$

Hence, the distance is $\sqrt{13}$ units.