Question

What is the distance from points, (0,n) and (m,0).

Answer 1

`d=\sqrt{m^(2)+n^(2) }`

Explanation:

To find the distance between two points, we use the distance formula

`d=\sqrt{((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2) }`.

Chose a point to be
`(x_1,y_1)` and another point to be
`(x_2,y_2)`.

Let (0,n) be
`(x_1,y_1)` where
`x_1=0\\y_1=n`.

Let (m,0) be
`(x_1,y_1)` where
`x_2=m\\y_2=0`.

Substitute the values.

`d=\sqrt{((m-0)^(2)+(0-n)^(2) }\\d=\sqrt{((m)^(2)+(-n)^(2) }\\d=\sqrt{m^(2)+n^(2) }`