# Triangle Formed By Intercepts

Geometry Level 4

In $$\triangle ABC$$ $$AB = 10$$ and $$AC = 15$$. $$AE$$ is the median from $$A$$ and $$AD$$ is the internal bisector of $$\angle BAC$$. The point $$P$$ is on $$AC$$ such that $$AP = 6$$. $$BP$$ intersects $$AD$$ at $$N$$ and $$AE$$ at $$M$$. What is the value of

$$\dfrac{[ABC]}{[ANM]}$$ ?

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