Find the distance between the points LaTeX:  \displaystyle \left( -59, \  30\right) and LaTeX:  \displaystyle \left( 21, \  48\right) .

The distace formula gives LaTeX:  \displaystyle d=\sqrt{ ((21)-(-59))^2 + ((48)-(30))^2 }=\sqrt{ 6400 + 324 } . Simplifying gives LaTeX:  \displaystyle d = 82 .