What is the distance between #(31,-21)# and #(21,-29)#?

1 Answer
Dec 16, 2015

Answer:

#2sqrt(41)# units

Explanation:

The distance between two points can be calculated with the formula:

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

where:
#d=#distance
#(x_1, y_1)=(31, -21)#
#(x_2, y_2)=(21, -29)#

Substitute your known values into the distance formula to find the distance between the two points:

#d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)#
#d=sqrt(((21)-(31))^2+((-29)-(-21))^2)#
#d=sqrt((-10)^2+(-8)^2)#
#d=sqrt(100+64)#
#d=sqrt(164)#
#d=2sqrt(41)#

#:.#, the distance between the two points is #2sqrt(41)# units.