# A geometry problem by Brilliant Member

Geometry Level pending

In parallelogram $$ABCD$$ shown above, point $$E$$ lies on diagonal $$AC$$. Line $$BE$$ extended meets $$CD$$ at $$F$$ and $$AD$$ at $$G$$. Given that $$AD=10,DG=4$$ and $$BG=11,$$ find the length of $$EF$$ correct to four decimal places.

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