To the nearest tenth, what is the distanc between the points (5, 12, 7) and (8, 2, 10)?

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Answer 1 · 2017-06-28T01:13:01

See a solution process below:

The formula for calculating the distance between two points is:

$d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2 + (color(red)(z_2) - color(blue)(z_1))^2)$

Substituting the values from the points in the problem gives:

$d = sqrt((color(red)(8) - color(blue)(5))^2 + (color(red)(2) - color(blue)(12))^2 + (color(red)(10) - color(blue)(7))^2)$

$d = sqrt(3^2 + (-10)^2 + 3^2)$

$d = sqrt(9 + 100 + 9)$

$d = sqrt(118)$

$d = 10.9$ rounded to the nearest tenth.