What is the distance between $(1, 6)$ $(1, 6)$ and $(4, 5)$ $(4, 5)$ ?

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Answer 1 · 2016-01-19T13:10:46

Distance $= \sqrt{10}$ $=sqrt(10$

The points are
$(1, 6) = x_{1}, y_{1}$ $(1,6) =color(blue)(x_1,y_1$ and
$(4, 5) = x_{2}, y_{2}$ $(4,5) = color(blue)(x_2,y_2$

The distance is calculated by
Distance $= \sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2}}$ $=color(blue)(sqrt((x_2-x_1)^2 +(y_2-y_1)^2)$

$= \sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2}}$ $=sqrt((x_2-x_1)^2 +(y_2-y_1)^2)$

$= \sqrt{{(4 - 1)}^{2} + {(5 - 6)}^{2}}$ $=sqrt((4-1)^2 +(5-6)^2)$

$= \sqrt{{(3)}^{2} + {(- 1)}^{2}}$ $=sqrt((3)^2 +(-1)^2)$

$= \sqrt{(9 + 1)}$ $=sqrt((9+1)$
$= \sqrt{(10)}$ $=sqrt((10)$

What is the distance between (1,6)(1, 6) and (4,5)(4, 5)?