Question

If A(0,0) and B(8,2), find AB. If necessary, submit your answer as a decimal to the nearest tenth. (Remember AB is the distance between points A and B.)

Answer 1

We have two points, if we want to find AB, which is a distance, we can simply use the distance formula:

d =
`\sqrt{8^(2) + 2^(2)} = √(64 + 4) = √(68) =~ 8.25 units`

Answer 2

The Length of AB is 8.2 units .

Explanation:

Formula

`Distance\ formula = \sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}`

As given

If A(0,0) and B(8,2) .

`AB = \sqrt{(8-0)^(2)+(2-0)^(2)}`

`AB = \sqrt{(8)^(2)+(2)^(2)}`

`AB = √(64+4)`

`AB = √(68)`

`√(68)= 8.2\ units`

`AB =8.2\ units\ (Approx)`

Therefore the Length of AB is 8.2 units .