Consider quadrilateral ABCD whose diagonals are perpendicular and meet at point E.

Minimize the perimeter of ABCD where AB, BC, CD, DA, EA, EB, EC, ED are all different integers.
(Or prove no such quadrilateral exists.)

(In reply to Computer verification of minimum by Charlie)

Thanks Charlie.  I figured the solution I had was the minimum, but I hadn't actually checked.

Posted by Jer on 2005-08-29 18:44:54