Construct a rectangle
Source: Czech and Slovak MO, 2002, P5
September 15, 2012
geometryrectangleanalytic geometrytrigonometryparameterizationconicsgraphing lines
Problem Statement
A triangle is given in the plane together with a point lying on the half-line opposite to . Construct a rectangle whose vertices and lie on the lines and , respectively. (We allow the rectangle to be a square.)