# What is the distance of the origin and (5,8)?

$r = \sqrt{106} \text{ } u n i t$
$\Delta x = 5 - 0 = 5 \text{ "Delta y=8-0=8" } r = \sqrt{\Delta {x}^{2} + \Delta {y}^{2}}$
$r = \sqrt{{5}^{2} + {8}^{2}}$
$r = \sqrt{25 + 81}$
$r = \sqrt{106} \text{ } u n i t$