Answer
13
Work Step by Step
To calculate distance between given points, i. e. origin (0, 0) and (12,-5), we will use distance formula-
r = $ \sqrt { (x_{2} - x_{1}) ^{2} + (y_{2} - y_{1}) ^{2}}$
= $ \sqrt { (12 - 0) ^{2} + (-5- 0) ^{2}}$
= $ \sqrt { (12) ^{2} + (-5) ^{2}}$
= $ \sqrt {144 +25}$
= $ \sqrt {169}$
= 13
