MathDB

2

Part of 2007 Junior Macedonian Mathematical Olympiad

Problems(1)

2007 JBMO TST- Macedonia, problem 2

Source: 2007 JBMO TST- Macedonia

5/28/2019
Let ABCDABCD be a parallelogram and let EE be a point on the side ADAD, such that AEED=m\frac{AE}{ED} = m. Let FF be a point on CECE, such that BF⊥CEBF \perp CE, and the point GG is symmetrical to FF with respect to ABAB. If point AA is the circumcenter of triangle BFGBFG, find the value of mm.
JuniorMacedoniaJMMO2007geometryparallelogram