What is the distance between $(3, 2)$ and $(-2, 4)$ ?

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Answer 1 · 2016-05-26T15:36:49

The distance $=sqrt (29)$

$(3,2) = color(blue)((x_1 , y_1)$

$(-2,4) = color(blue)((x_2 , y_2)$

The distance is calculated using formula:

Distance $=color(blue)(sqrt ((x_2 - x_1)^2 + (y_2 - y_1)^2)$

$=sqrt ((-2 -3)^2 + (4-2)^2)$

$=sqrt ((-5)^2 + (2)^2)$

$=sqrt ((25 +4)$

$=sqrt (29)$

What is the distance between (3, 2)(3, 2) and (-2, 4) (-2, 4) ?