Question

Find the distance of line segment AB with point A(8,1) and point B(-8,5)​

Answer 1

`4√(17)`

Explanation:

We remember the distance formula. Given two points
`(x_(1), y_(1))` and
`(x_(2), y_(2))`, the distance between them is
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2}`.

Aha! We can plug in these two points into the distance formula!.

We get
`√((-8-8)^2+(5-1)^2)=√((-16)^2+4^2)=√(256+16)=√(272)=4√(17)`.

Therefore, the answer is
`\boxed{4√(17)}` and we're done!