Question

What is the distance between `(8,3,-5)` and `(6,1,2)`?

Answer 1

The distance between the points is `d = sqrt(57)` or `d = 7.55` rounded to the nearest hundredth

Explanation:

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(green)(z_2) - color(green)(z_1))^2)`

Substituting the values from the problem gives:

`d = sqrt((color(red)(6) - color(blue)(8))^2 + (color(red)(1) - color(blue)(3))^2 + (color(green)(2) - color(green)(-5))^2)`

`d = sqrt((-2)^2 + (-2)^2 + (7)^2)`

`d = sqrt(4 + 4 + 49)`

`d = sqrt(57) = 7.55` rounded to the nearest hundredth