# Distance between (5,-6,4) and (-10,-2,2)?

Distance between (5,-6,4) and (-10,-2,2)?
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Monastro3n
The formula for calculating the distance between two points is:
$d=\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}+{\left({z}_{2}-{z}_{1}\right)}^{2}}$
Substituting the values from the points in the problem gives:
$d=\sqrt{{\left(-10-5\right)}^{2}+{\left(-2+6\right)}^{2}+{\left(2-4\right)}^{2}}$
$d=\sqrt{{\left(-15\right)}^{2}+{4}^{2}+{\left(-2\right)}^{2}}$
$d=\sqrt{245}=15.652$