Question

prove that the points (4,3), (6,4),(5,6) and (8,3) are the vertices of a square

Answer 1

As all these numbers have a similarities between each of them

Answer 2

let A be 4,3
let B be 6,4
let C be 5,6
let D be 8,3

now take a ∆ABC and find its area through
1/2[x1(y2-y3) + x2(y3-y1) + x3(y1-y2)]

and, now take a ∆DBC and find its area through
1/2[x1(y2-y3) + x2(y3-y1) + x3(y1-y2)]