Let ABCD be a quadrilateral with AB=25,BC=39,CD=60, and DA=52, as shown above.
If the two diagonals are perpendicular to each other, yielding 4 Pythagorean triples for the 4 right triangles, and AC:BD=8:9, what is the area of quadrilateral ABCD?
Your answer seems reasonable.
Find out if you're right!