MathDB
Geometry

Source: Baltic Way 2015

November 8, 2015
geometryparallelogramratio

Problem Statement

The diagonals of parallelogram ABCDABCD intersect at EE . The bisectors of DAE\angle DAE and EBC\angle EBC intersect at FF. Assume ECFDECFD is a parellelogram . Determine the ratio AB:ADAB:AD.