What is the distance between #(8, 2) # and # (–5, 13) #?

1 Answer
Dec 21, 2015

Answer:

#sqrt(290)# 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)=(8, 2)#
#(x_2, y_2)=(-5, 13)#

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(((-5)-(8))^2+((13)-(2))^2)#
#d=sqrt((-13)^2+(11)^2)#
#d=sqrt(169+121)#
#d=sqrt(290)#

#:.#, the distance between the two points is #sqrt(290)# units.