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

1 Answer
Jan 18, 2017

Answer:

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