<Solid-2025-250>, hint

Consider XYZ coordinate system

Let A(a,0,h), B(b,0,0), C(0,c,0), D(0,-d,0) ...> AB is perpendicular to CD

Given condition means  ab=cd.

Let A'(a,0,0). A'C is perpendicular to BD....> d/b x c/a=-1  <..> ab=cd