What is the distance between (-12,4) and (-10,-5)?

Jun 8, 2016

$\sqrt{85}$

Explanation:

Use pythagoras to find the distance

$\mathrm{di} s \tan c e = \sqrt{{\left(- 12 - \left(- 10\right)\right)}^{2} + {\left(4 - \left(- 5\right)\right)}^{2}}$
$\mathrm{di} s \tan c e = \sqrt{{2}^{2} + {9}^{2}}$
$\mathrm{di} s \tan c e = \sqrt{4 + 81}$
$\mathrm{di} s \tan c e = \sqrt{85}$

I will leave it as $\sqrt{85}$ since this is the exact form but you can put it into a calculator and get a rounded decimal if you want.