What is the distance between #(5,3)# and # (3,7) #?

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Answer 1 · 2016-03-06T15:12:10

The distance #=2sqrt(5)#

The points are:
#(5,3) = color(blue)(x_1,y_1#
#(3,7) = color(blue)(x_2,y_2#

The distance is calculated using formula:
distance #=sqrt((x_2-x_1)^2 + (y_2-y_1)^2#

#=sqrt((3-5)^2 + (7-3)^2#

#=sqrt((-2)^2 + (4)^2#

#=sqrt((4 +16)#

#=sqrt((20)#

On further simplification of #sqrt20#:

#=sqrt(2*2*5)#

#=2sqrt(5)#