What is the distance between #(6,5)# and #(52,-12)#?

1 Answer
May 22, 2018

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)#

Substituting the values from the points in the problem gives:

#d = sqrt((color(red)(52) - color(blue)(6))^2 + (color(red)(-12) - color(blue)(5))^2)#

#d = sqrt(46^2 + (-17)^2)#

#d = sqrt(2116 + 289)#

#d = sqrt(2405)#

#d = sqrt(2405)#

Or

#d ~= 49.04#