What is the distance between #(2,-14)# and #(-9,5)#?

1 Answer
SagarStudy
Dec 29, 2015

#sqrt(482)#

Explanation:

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 #(2,-14)# and #(x_2,y_2)# represent #(-9,5)#.
#implies d=sqrt((-9-2)^2+(5-(-14))^2#
#implies d=sqrt((-11)^2+(5+14)^2#
#implies d=sqrt((-11)^2+(19)^2#
#implies d=sqrt(121+361)#
#implies d=sqrt(482)#

Hence the distance between the given points is #sqrt(482)#.

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