What is the distance between #(8,5)# and #(6,2)#?

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Answer 1 · 2016-02-28T15:55:53

the distance #= sqrt(13#

The points are:
#(8,5) = color(blue)(x_1,y_1#

#(6,2) = color(blue)(x_2,y_2#

The distance is calculated using the below mentioned formula:

distance #= sqrt((x_2-x_1)^2 + (y_2 -y_1)^2#

#= sqrt((6-8)^2 + (2-5)^2#

#= sqrt((-2)^2 + (-3)^2#

#= sqrt(4 +9#

the distance #= sqrt(13#