Question

If A(-2,10) and B(4,-2) then AB = ?

Answer 1

`6√(5)`

Explanation:

Thing of this like a right triangle and use pythagorean theorem.

You can see that the x-cordinate changes by 6 when you go from A to B so that means one of the legs of the triangle is 6.

You also see that the y-cordinate changes by 12 when you go from A to B so that means the other leg of the triangle is 12.

Next, use pythagorean theorem
`6^2+12^2=c^2`

You see that simplifies to 180 =
`c^2` so then you take the square root of both sides.

c =
`√(180)` ; now you must simplify this.
`√(36)`×
`√(5)` which equals 6
`√(5)`

Final answer:
`6√(5)`

Answer 2

Here is the answer of distance between AB: