Question

Which is the correct formula to find the distance between two points (a, b) and (c, d)? Please Answer quickly! Thank you!

Answer 1

Use the distance formula. Result: sqrt [ (a-c)^2 + (b-d)^2 ]

Explanation:

distance = d = sqrt [ (a-c)^2 + (b-d)^2 ]

Answer 2

`d=√((c-a)^2+(d-b)^2)`

Explanation:

We are given two points (a, b) and (c, d)

We need to find the distance between two points.

It is coordinate of two points. Using coordinate formula of distance.

`d=\sqtt{(x_2-x_1)^2+(y_2-y_1)^2}`

where,

`x_2\rightarrow c`

`x_1\rightarrow a`

`y_2\rightarrow d`

`y_1\rightarrow b`

Substitute into formula

Distance between two points is

`d=√((c-a)^2+(d-b)^2)`

Hence, The formula of distance between two points (a, b) and (c, d) is
`d=√((c-a)^2+(d-b)^2)`