How do you find the distance between the points (2,7), (10,-4)?

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Answer 1 · 2017-10-15T23:03:31

See a solution process below:

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:

$d = sqrt((color(red)(10) - color(blue)(2))^2 + (color(red)(-4) - color(blue)(7))^2)$

$d = sqrt(8^2 + (-11)^2)$

$d = sqrt(64 + 121)$

$d = sqrt(185)$

Or, if a non-radical is required:

$d = 13.601$ rounded to the nearest thousandth.