Find the distance between the points $LaTeX: \displaystyle \left( 26, \ -3\right)$ and $LaTeX: \displaystyle \left( 213, \ 81\right)$ .

The distace formula gives $LaTeX: \displaystyle d=\sqrt{ ((213)-(26))^2 + ((81)-(-3))^2 }=\sqrt{ 34969 + 7056 }$ . Simplifying gives $LaTeX: \displaystyle d = 205$ .