MathDB
Rectangle

Source: Canada 1974/2

January 13, 2007
geometryrectangletrigonometryparallelogram

Problem Statement

Let ABCDABCD be a rectangle with BC=3ABBC=3AB. Show that if P,QP,Q are the points on side BCBC with BP=PQ=QCBP = PQ = QC, then DBC+DPC=DQC.\angle DBC+\angle DPC = \angle DQC.