MathDB
Cyclic Quadrilateral Calculation

Source: China TST 2004 Quiz

February 1, 2009
geometryperimeterinequalitiestrigonometrytrig identitiesLaw of Sinesgeometry unsolved

Problem Statement

Convex quadrilateral ABCD ABCD is inscribed in a circle, \angle{A}\equal{}60^o, BC\equal{}CD\equal{}1, rays AB AB and DC DC intersect at point E E, rays BC BC and AD AD intersect each other at point F F. It is given that the perimeters of triangle BCE BCE and triangle CDF CDF are both integers. Find the perimeter of quadrilateral ABCD ABCD.
Back to ProblemsView on AoPS