# What is the distance between (2,12,5) and (1,-5,4)?

Mar 6, 2016

$\Delta s = \sqrt{291}$
$\text{distance between two points is given as:}$
$\Delta s = \sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2} + {\left({z}_{2} - {z}_{1}\right)}^{2}}$
$\Delta s = \sqrt{{\left(1 - 2\right)}^{2} + {\left(- 5 - 12\right)}^{2} + {\left(4 - 5\right)}^{2}}$
$\Delta s = \sqrt{1 + 289 + 1}$
$\Delta s = \sqrt{291}$