Find the distance between the points $LaTeX: \displaystyle \left( -57, \ 38\right)$ and $LaTeX: \displaystyle \left( 3, \ 70\right)$ .

The distace formula gives $LaTeX: \displaystyle d=\sqrt{ ((3)-(-57))^2 + ((70)-(38))^2 }=\sqrt{ 3600 + 1024 }$ . Simplifying gives $LaTeX: \displaystyle d = 68$ .