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In the diagram below, $BE=EC=DF,$ and $\triangle ADF$ has the same area as $\triangle DEF.$ If rectangle $DXYF$ has area $42,$ what is the area of $\triangle ABC$?
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In the diagram below, $BE=EC=DF,$ and $\triangle ADF$ has the same area as $\triangle DEF.$ If recta...
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