What is the distance between $(5, 2)$ $(5, 2)$ and $(4, 5)$ $(4, 5)$ ?

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Answer 1 · 2016-01-15T13:44:14

distance $= \sqrt{(10)}$ $=sqrt((10)$

The points are

$(5, 2) = x_{1}, y_{1}$ $(5,2) = color(blue)(x_1,y_1$

$(4, 5) = x_{2}, y_{2}$ $(4,5) = color(blue)(x_2,y_2$

The distance is found using formula

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

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

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

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

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

What is the distance between (5,2)(5, 2) and (4,5)(4, 5)?