What is the distance between the points (6,8) and (3,4)?

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Answer 1 · 2017-02-12T20:55:30

The distance between the points is $sqrt(29)$ or $5.385$ rounded to the nearest thousandth.

The formula for calculating the distance between two points is:

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

Substituting the values from the points in the problem gives:

$d = sqrt((color(red)(4) - color(blue)(6))^2 + (color(red)(3) - color(blue)(8))^2)$

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

$d = sqrt(4 + 25)$

$d = sqrt(29) = 5.385$ rounded to the nearest thousandth.