Question

What is the distance between `(5, 12)` and `(10, 2)`?

Answer 1

`color(white)(xx)5sqrt5`

Explanation:

Let distance be `d`. Then:

`color(white)(xx)d^2=(Deltax)^2+(Deltay)^2color(white)(xxxxxxxxxxx)` (Pythagorous' Theorem)

`=>sqrt(d^2)=sqrt((color(red)(x_2-x_1))^2+(color(red)(y_2-y_1))^2)`

`=>d=sqrt((color(red)10-color(red)5)^2+(color(red)2-color(red)12)^2)`
`color(white)(xxx)=sqrt(color(red)5^2+color(red)10^2)`
`color(white)(xxx)=sqrt(color(red)25+color(red)100)`
`color(white)(xxx)=5sqrt5`