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SMO 2012 Junior Round 1 Question 5

SMO · SMO 2012 Junior Round 1

Question 5

In the diagram, $ABCD$ is a parallelogram, and $AE,BE$ are straight lines. Let $F,G$ be the intersections of $BE$ with $CD,AC$, respectively. Given $BG=EF$, find $DE/AE$.

Question illustration
  1. $(3-\sqrt5)/2$
  2. $(3-\sqrt6)/2$
  3. $(3-\sqrt6)/4$
  4. $(3-\sqrt7)/2$
  5. $(3-\sqrt7)/4$