What is the distance between $(4, 0)$ $(4,0)$ and $(3, 5)$ $(3, 5)$ ?

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Answer 1 · 2015-12-15T13:03:31

$= \sqrt{26}$ $=color(blue)(sqrt( 26)$

$(4, 0) = (x_{1}, y_{1})$ $(4,0) = color(blue)((x_1 , y _1)$

$(3, 5) = (x_{2}, y_{2})$ $(3,5) = color(blue)((x_2 , y _2)$

Distance can be calculated using the below formula:

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

$= \sqrt{{(3 - 4)}^{2} + {(5 - 0)}^{2}}$ $=sqrt((3-4)^2 +(5-0)^2$

$= \sqrt{(1 + 25)}$ $=sqrt((1 + 25)$

$= \sqrt{26}$ $=color(blue)(sqrt( 26)$

What is the distance between (4,0) (4,0) and (3,5) (3, 5) ?