# What is the distance between the origin of a cartesian coordinate system and the point (-3,7)?

The origin of the Cartesian coordinate system is at $\left(0 , 0\right)$
The distance between $\left(0 , 0\right)$ and $\left(- 3 , 7\right)$ can be calculated using the Pythagorean theorem:
${h}^{2} = {\left(\Delta x\right)}^{2} + {\left(\Delta y\right)}^{2}$
${h}^{2} = {\left(- 3\right)}^{2} + {\left(7\right)}^{2}$
$h = \sqrt{58}$
$\text{ we can ignore the possibility of negative value for a distance }$