How do you find the distance between #(5, 5)# and #(4, 4)#?

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Answer 1 · 2017-07-27T14:16:47

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

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

#d = sqrt(1 + 1)#

#d = sqrt(2)#

Or

#d = 1.414# rounded to the nearest thousandth.