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

1 Answer
Jun 28, 2017

Answer:

See a solution process below:

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(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.