What is the distance between $(8, 2)$ $(8, 2)$ and $(1, - 6)$ $(1,-6)$ ?

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Answer 1 · 2016-02-19T11:45:46

distance $= \sqrt{113}$ $=sqrt(113$

$(8, 2) = x_{1}, y_{1}$ $(8,2)= color(blue)(x_1,y_1$

$(1, - 6) = x_{2}, y_{2}$ $(1,-6)=color(blue)(x_2,y_2$

The distance is calculated using formula :
$\sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2}}$ $sqrt((x_2-x_1)^2+(y_2-y_1)^2$

$= \sqrt{{(1 - 8)}^{2} + {(- 6 - 2)}^{2}}$ $=sqrt((1-8)^2+(-6-2)^2$

$= \sqrt{{(- 7)}^{2} + {(- 8)}^{2}}$ $=sqrt((-7)^2+(-8)^2$

$= \sqrt{49 + 64}$ $=sqrt(49+64$

$= \sqrt{113}$ $=sqrt(113$

What is the distance between (8,2)(8, 2) and (1,−6) (1,-6) ?