What is the distance between $(8, 2)$ and $(–5, 13)$ ?

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Answer 1 · 2015-12-21T16:33:54

$sqrt(290)$ units

The distance between two points can be calculated with the formula:

$d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)$

where:
$d=$ distance
$(x_1, y_1)=(8, 2)$
$(x_2, y_2)=(-5, 13)$

Substitute your known values into the distance formula to find the distance between the two points:

$d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)$
$d=sqrt(((-5)-(8))^2+((13)-(2))^2)$
$d=sqrt((-13)^2+(11)^2)$
$d=sqrt(169+121)$
$d=sqrt(290)$

$:.$ , the distance between the two points is $sqrt(290)$ units.

What is the distance between (8, 2) (8, 2) and (–5, 13) (–5, 13) ?