# Too many lines

Geometry Level pending

In a triangle $$ABC$$, $$AD$$ is a median. $$E$$ is the midpoint of $$BD$$. Segment $$CF$$ is drawn through $$P$$, the midpoint of $$AD$$, with $$F$$ on $$AB$$. $$DG$$ is drawn parallel to $$CF$$ with $$G$$ on $$AB$$. $$AE$$ cuts $$DG$$ at $$H$$. Find the ratio of the area of triangle $$ADH$$ to the area of triangle $$ABC$$. Give answer in decimals.

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