MathDB

4

Part of 1997 India Regional Mathematical Olympiad

Problems(1)

Quad ineq

Source: Indian RMO 1997 Problem 4

10/26/2005
In a quadrilateral ABCDABCD, it is given that ABAB is parallel to CDCD and the diagonals ACAC and BDBD are perpendicular to each other. Show that (a) AD⋅BC≥AB⋅CDAD \cdot BC \geq AB \cdot CD (b) AD+BC≥AB+CD.AD + BC \geq AB + CD.
geometryindiaRMOinequalities