What is the distance between $(-12,4)$ and $(8,3)$ ?

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What is the distance between $(-12,4)$ and $(8,3)$ ?

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Answer 1 · 2015-12-29T18:04:51

$sqrt(401)$

Explanation:

The distance formula for Cartesian coordinates is

$d=sqrt((x_2-x_1)^2+(y_2-y_1)^2$
Where $x_1, y_1$ , and $x_2, y_2$ are the Cartesian coordinates of two points respectively.
Let $(x_1,y_1)$ represent $(-12,4)$ and $(x_2,y_2)$ represent $(8,3)$ .
$implies d=sqrt((8-(-12))^2+(3-4)^2$
$implies d=sqrt((8+12)^2+(-1)^2$
$implies d=sqrt((20)^2+(-1)^2$
$implies d=sqrt(400+1)$
$implies d=sqrt(401)$

$implies d=sqrt(401)$

Hence the distance between the given points is $sqrt(401)$ .

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What is the distance between $(-12,4)$ and $(8,3)$ ?

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