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AoPS Wiki:Problem of the Day/November 5, 2011

< AoPS Wiki:Problem of the Day
Revision as of 08:43, 5 November 2011 by Negativebplusorminus (talk | contribs) (Created page with "<math>BCDE</math> is a square. Point <math>A</math> is chosen outside of <math>BCDE</math> such that angle <math>BAC = 120^\circ</math> and <math>AB=AC</math>. Point <math>F</m...")
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$BCDE$ is a square. Point $A$ is chosen outside of $BCDE$ such that angle $BAC = 120^\circ$ and $AB=AC$. Point $F$ is chosen inside of $BCDE$ such that the triangles $ABC$ and $FCD$ are congruent. If $AF=20$, compute the area of square $BCDE$.

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