What is the distance between #(-10, 6)# and #(5, 2) #?

1 Answer
Jan 24, 2016

The distance formula for Cartesian coordinates is

#d=sqrt((x_2-x_1)^2+(y_2-y_1)^2#
Where #x_1, y_1#, and#x_2, y_2# are the Cartesian coordinates of two points respectively.
Let #(x_1,y_1)# represent #(-10,6)# and #(x_2,y_2)# represent #(5.2)#.
#implies d=sqrt((5-(-10))^2+(2-6)^2#
#implies d=sqrt((5+10)^2+(2-6)^2#
#implies d=sqrt((15)^2+(-4)^2#
#implies d=sqrt(225+16#
#implies d=sqrt(241#

Hence the distance between the given points is #sqrt(241)# units.