Question:

The equations of two adjacent sides of a rhombus are , . If (12,0) is one vertex and all vertices have positive coordinates, find the coordinates of other three vertices.

My attempt:

the other vertex i found is (0,4)

the distance between (0,4) and (12,0) =

the equation of the line that passes through (12,0) is

the problem is how to form the other equation in order to find the other vertices

please help