# What is the approximate distance between points (-7,2) and (11, -5)?

Oct 13, 2016

19.3(approx)

#### Explanation:

we know distance between A(x1,y1) and B(x2,y2) is$\sqrt{{\left(x 2 - x 1\right)}^{2} + {\left(y 2 - y 1\right)}^{2}}$.
hence distance between (-7,2), (11, -5) is $\sqrt{{\left\{11 - \left(- 7\right)\right\}}^{2} + {\left\{\left(- 5\right) - 2\right\}}^{2}}$
= $\sqrt{{\left\{11 + 7\right\}}^{2} + {\left\{- 5 - 2\right\}}^{2}}$
= $\sqrt{{18}^{2} + {7}^{2}}$
= $\sqrt{324 + 49} = \sqrt{373}$ = 19.3 (approx)