MathDB

Ratios in a rectangle

Source: South African MO 2009 Q2

May 26, 2012

ratiogeometryrectanglegeometric transformationreflectiontrapezoidgeometry unsolved

Problem Statement

Let

ABCD

be a rectangle and

E

the reflection of

A

with respect to the diagonal

BD

. If

EB = EC

, what is the ratio

\frac{AD}{AB}