Question

Find the distance between the points (11, 4) and (10, 5).

Answer 1

√(x1-x2)²+(y1-y2)²
√(11-10)²+(4-5)²
√1²+(-1)²
√1+1
∴√2

Answer 2

The distance is √2 unit.

Explanation:

By the distance formula,

The distance between
`(x_1,y_1)` and
`(x_2, y_2)` is,

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Hence, the distance between the points (11, 4) and (10, 5) would be,

`d=√((10-11)^2+(5-4)^2)`

`=√((-1)^2+(1)^2)`

`=√(1+1)`

`=√(2)\text{ unit}`