# What is the distance between the points (0,0) and (5,12)?

May 29, 2017

Hypotenuse, which is 13 units.

#### Explanation:

If your starting point is origin and your dinal x is 5 and your final y is 12, you can compute the distance by

$m = \sqrt{{x}^{2} + {y}^{2}}$

$m = \sqrt{{5}^{2} + 12 + 2}$

$m = \sqrt{169}$

$m = 13$

This is the distance. 13 units.

May 29, 2017

This is why the solution provided by G_Ozdilec works

The distance between the two points is 13 units

#### Explanation:

Basically you use the Pythagoras solution for a right tringle. "Hypotenuse"=sqrt("adjacent"^2+"opposit"^2)

$\text{Hypotenuse} = \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$

$\text{Hypotenuse} = \sqrt{{\left(5 - 0\right)}^{2} + {\left(12 - 0\right)}^{2}}$

$\text{Hypotenuse} = \sqrt{25 + 144}$

$\text{Hypotenuse} = 13$

It is good practice to state the units of measurement. However none are given. So if you wish to declare something just use the word 'units'