What is the distance between #(6,5)# and #(1,7)#?

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Answer 1 · 2015-11-25T02:57:52

#=color(blue)(sqrt(29)#

#(6,5)=color(blue)((x_1,y_1)#
and,

#(1,7)=color(blue)((x_2,y_2)#

The distance formula goes as follows:

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

#=sqrt((1-6)^2 + (7-5)^2)#

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

#=sqrt(25+4)#

#=color(blue)(sqrt(29)#