olymmath

HMMT 2003 U39

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In the figure, if AE=3,CE=1,BD=CD=2A E=3, C E=1, B D=C D=2, and AB=5A B=5, find AGA G.

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{3 \sqrt{66}}{7}

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