MathDB
Turkey TST 1997 Problem 4, compute AC+CE

Source: Turkey TST 1997 Problem 4

November 30, 2011
trigonometrygeometry proposedgeometry

Problem Statement

A convex ABCDEABCDE is inscribed in a unit circle, AEAE being its diameter. If AB=aAB = a, BC=bBC = b, CD=cCD = c, DE=dDE = d and ab=cd=14ab = cd =\frac{1}{4}, compute AC+CEAC + CE in terms of a,b,c,d.a, b, c, d.
Back to ProblemsView on AoPS