Question

Find the distance between the points 2, 8 and - 1, 9

Answer 1

`\large\boxed{√(10)}`

Explanation:

The formula of a distance between two points

`(x_1,\ y_1)` and
`(x_2,\ y_2)`:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

We have two points (2, 8) and (-1, 9).

Substitute:

`d=√((-1-2)^2+(9-8)^2)=√((-3)^2+1^2)=√(9+1)=√(10)`