How do we find the distance between #(-4.5,-4.5)# and #(3.5,3.5)#?

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Answer 1 · 2016-08-31T01:11:18

Distance between #(-4.5,-4.5)# and #(3.5,3.5)# is #8sqrt2#

The distance. Between two points #(x_1,y_1)# and #(x_2,y_2)# is given by

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

Hence distance between #(-4.5,-4.5)# and #(3.5,3.5)# is given by

#sqrt((3.5-(-4.5))^2+(3.5-(-4.5))^2)#

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

= #sqrt(64+64)#

= #sqrt128=sqrt(8^2×2)#

= #8sqrt2#