Question

Find the distance between the points given.
(2, 2) and (5,5)
3
7√2
3√2

Answer 1

3√2

Explanation:

Use the distance formula

x1 = 2 y1 = 5

x2 = 2 y2 = 5

d = √(5-2)^2 + 5-2)^2

d = √9 + 9

d = √18

d = √9x2

d = 3√2

Answer 2

distance =
`\tt 3√(2)`

Explanation:

The distance between two points can be calculated using the distance formula:

`\boxed{\tt d = √((x2 - x1)^2+ (y2 - y1)^2)}`

• where d is the distance between the two points,
• x1 and y1 are the coordinates of the first point,
• x2 and y2 are the coordinates of the second point.

In this case, the coordinates of the first point are
`\tt (x_1,y_1)=(2, 2)` and the coordinates of the second point are
`\tt (x_2,y_2)=(5, 5)`.

So, the distance between the two points is:

`\tt d = √((5 - 2)^2 + (5 - 2)^2)`

`\tt d= √(3^2 + 3^2)`

`\tt d = √(18)`

`\tt d = √(3^2*2)`

`\tt d =3√(2)`

Therefore, the distance between the points (2, 2) and (5, 5) is
`\tt 3√(2)`