What is the distance between $(10, 8)$ and $(-10, 6)$ ?

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What is the distance between $(10, 8)$ and $(-10, 6)$ ?

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Answer 1 · 2016-01-21T00:21:10

$2sqrt(101$

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 $(10,8)$ and $(x_2,y_2)$ represent $(-10.6)$ .
$implies d=sqrt((-10-10)^2+(6-8)^2$
$implies d=sqrt((-20)^2+(-2)^2$
$implies d=sqrt(400+4$
$implies d=2sqrt(100+1$
$implies d=2sqrt(101$

Hence the distance between the given points is $2sqrt(101)$ units.

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What is the distance between $(10, 8)$ and $(-10, 6)$ ?

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