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

1 Answer
Dec 16, 2015

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.