If the vertices of a triangle have rational coordinates, then prove that the triangle cannot be equilateral.

Explanation

let the co-ordinates be
`A=(0,0) B=(x,y) C=(a,b)
`

Now,


slope of `AB=(y-0)/(x-0)=y/x`
​
slope of `AC=(b-0)/(a-0)=b/a
`

Now,
...