# Ceva or Menelaus?

Geometry Level 1

In triangle $$ABC,$$ $$E$$ lies on $$AC$$ and $$F$$ lies on $$AB$$ such that $$FE \parallel BC.$$ $$P$$ is the intersection point of $$BE$$ and $$CF,$$ and extension of $$AP$$ meets $$BC$$ at point $$D.$$ Given that $AE=2, \quad CE=3, \quad AD=7,$ find length of $$AP.$$

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