MathDB
Funny problem with squares

Source: South Africa 2002

October 13, 2005
geometry unsolvedgeometry

Problem Statement

A small square PQRSPQRS is contained in a big square. Produce PQPQ to AA, QRQR to BB, RSRS to CC and SPSP to DD so that AA, BB, CC and DD lie on the four sides of the large square in order, produced if necessary. Prove that AC=BDAC = BD and AC⊥BDAC \perp BD.
Back to ProblemsView on AoPS