Question

Find the distance between the points given.

(0, 6) and (5, 12)
Sq root(145)
Sq root(11)
Sq root(61)

Answer 1

distance =
`\tt √(61)`

Explanation:

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

`\boxed{\tt d = √((x_2 - x_1)^2+ (y_2 - y_1)^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)=(0, 6)` and the coordinates of the second point are
`\tt (x_2,y_2)=(5, 12)`.

So, the distance between the two points is:

`\tt d = √((5 - 0)^2 + (12 - 6)^2)`

`\tt d= √(5^2 + 6^2)`

`\tt d = √(61)`

Therefore, the distance between the points (0,6) and (5, 12) is
`\tt √(61)`