Question

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

Answer 1

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

hope it helps

Answer 2

6.71 units.

Explanation:

We have been given coordinates of two points
`A(0,0)` and
`B(6,3)`. We are asked to find the length of AB.

To find the length of Ab, we will use distance formula.

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Let point
`(0,0)=(x_1,y_1)` and
`(6,3)=(x_2,y_2)`.

Upon substituting coordinates of our given points in distance formula, we will get:

`d=√((6-0)^2+(3-0)^2)`

`d=√((6)^2+(3)^2)`

`d=√(36+9)`

`d=√(45)`

`d=√(5\cdot 9)`

`d=√(5\cdot 3^2)`

`d=3√(5)`

`d=6.7082039\approx 6.71`

Therefore, the length of AB is approximately 6.71 units.