What is the distance between (2,17) and (-10,25)?

May 27, 2018

$\sqrt{208} \approx 14.42 \text{ to 2 dec. places}$

Explanation:

$\text{calculate the distance using the "color(blue)"distance formula}$

•color(white)(x)d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)

$\text{let "(x_1,y_1)=(2,17)" and } \left({x}_{2} , {y}_{2}\right) = \left(- 10 , 25\right)$

d=sqrt((-10-2)^2+(25-17)^2

$\textcolor{w h i t e}{d} = \sqrt{{\left(- 12\right)}^{2} + {8}^{2}} = \sqrt{144 + 64} = \sqrt{208} \approx 14.42$