Question

If A = (0,0) and B = (6,3), what is the length of AB?

O A. 6.24 units
O B. 7.73 units
O C. 5.20 units
O D. 6.71 units

Answer 1

D 6.71 units

Explanation:

AB² = (6 - 0)² + (3 - 0)²

AB² = 36 + 9

AB² = 45

AB = 3sqrt(5)

Approximately 6.71

Answer 2

D. 6.71 units

Explanation:

In order to solve this, we need to use the distance formula, which states that for two points
`(x_1,y_1)` and
`(x_2,y_2)`:

d =
`√((y_2-y_1)^2+(x_2-x_1)^2)`

Here, we have (0, 0) and (6, 3), so:

d =
`√((y_2-y_1)^2+(x_2-x_1)^2)`

d =
`√((3-0)^2+(6-0)^2)=√(9+36) =√(45) =3√(5)` ≈ 6.71

The answer is thus D.