What is the distance between #(2,5) # and #(5, –3)#?

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Answer 1 · 2015-12-08T03:57:57

The distance #=color(blue)(sqrt73#

Let,

#(2,5) =color(blue)( (x_1,y_1)# , and

#(5,-3) =color(green)( (x_2,y_2)#

The distance can be calculated using formula:

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

#=sqrt((2-5)^2 +(5-(-3)^2)#

#=sqrt((-3)^2 +(8)^2)#

#=sqrt((9+64)#

#=color(blue)(sqrt73#