Find the distance between the points $LaTeX: \displaystyle \left( -50, \ 87\right)$ and $LaTeX: \displaystyle \left( 130, \ 199\right)$ .

The distace formula gives $LaTeX: \displaystyle d=\sqrt{ ((130)-(-50))^2 + ((199)-(87))^2 }=\sqrt{ 32400 + 12544 }$ . Simplifying gives $LaTeX: \displaystyle d = 212$ .