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2002 AIME I Problems/Problem 10

Revision as of 16:07, 25 September 2007 by 1=2 (talk | contribs) (→Problem)

Problem

In the diagram below, angle $ABC$ is a right angle. Point $D$ is on $\overline{BC}$, and $\overline{AD}$ bisects angle $CAB$. Points $E$ and $F$ are on $\overline{AB} and$\overline{AC}$, respectively, so that$AE=3$and$AF=10$. Given that$EB=9$and$FC=27$, find the integer closest to the area of quadrilateral$DCFG$.

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