What is the distance between $(-10, 6)$ and $(5, 2)$ ?

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What is the distance between $(-10, 6)$ and $(5, 2)$ ?

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Answer 1 · 2016-01-24T17:11:13

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 $(-10,6)$ and $(x_2,y_2)$ represent $(5.2)$ .
$implies d=sqrt((5-(-10))^2+(2-6)^2$
$implies d=sqrt((5+10)^2+(2-6)^2$
$implies d=sqrt((15)^2+(-4)^2$
$implies d=sqrt(225+16$
$implies d=sqrt(241$

Hence the distance between the given points is $sqrt(241)$ units.

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What is the distance between $(-10, 6)$ and $(5, 2)$ ?

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