Problem of the Week
Sides, Products, and Triangles-------5/28/07-------
Prove that the product of two sides of a triangle is always greater than the product of the diameters of the inscribed circle and the circumscribed circle.
(IMO, 1985)
Prove that the product of two sides of a triangle is always greater than the product of the diameters of the inscribed circle and the circumscribed circle.