Construction of a trapezoid
Source: Iberoamerican Olympiad 1992, Problem 5
May 14, 2007
geometrytrapezoidtrigonometryrhombuscircumcircleperpendicular bisectorgeometry proposed
Problem Statement
Given a circle and the positive numbers and , construct with straight edge and compass a trapezoid inscribed in , such that it has altitude and the sum of its parallel sides is .