What is the distance between #(1,2)# and #(3,7)#?

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Answer 1 · 2017-04-30T17:25:00

See the entire 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)(3) - color(blue)(1))^2 + (color(red)(7) - color(blue)(2))^2)#

#d = sqrt(2^2 + 5^2)#

#d = sqrt(4 + 25)#

#d = sqrt(29) = 5.385# rounded to the nearest thousandth.