How do you find the distance between points (4,2), (5,5)?

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Answer 1 · 2017-03-07T22:21:55

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)(5) - color(blue)(4))^2 + (color(red)(5) - color(blue)(2))^2)#

#d = sqrt(1^2 + 3^2)#

#d = sqrt(1 + 9)#

#d = sqrt(10) = 3.162#

The distance between the two points is #sqrt(10)# or #3.162# rounded to the nearest thousandth.