# Minimario's triangles

Geometry Level pending

In triangle $$\triangle ABC$$, $$AB=30$$ and $$AC=28$$. Point $$D$$ lies on line segment $$AB$$ such that $$BD=16$$ and point $$E$$ lies on line segment $$AC$$ such that the area of quadrilateral $$BCED$$ is $$\frac{7}{10}$$th of the area of triangle $$\triangle ABC$$. Find the length of $$AE$$.

This problem is posed by Minimario M.

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