Four Right Triangles in One
Geometry
Level
3
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 \(ABCD?\)
by
Worranat Pakornrat