Question

find the distance between the origin and (2,3)

Answer 1

Given,

The points are

$\begin{gathered} (x_1,y_1)=(0,0) \\ (x_2,y_2)=(2,3) \end{gathered}$

To find: Find the distance between the origin and (2,3)

Solution:

The distance between the points is calculated by the formula.

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

Hence, the distance between the origin and (2,3) is

$\sqrt{13}$