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

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Answer 1 · 2018-05-22T19:16:00

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)#

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)#

Or

#d ~= 49.04#