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In △ABC\triangle ABC△ABC AB=10 AB = 10AB=10 and AC=15AC = 15AC=15. AEAEAE is the median from AAA and ADADAD is the internal bisector of ∠BAC\angle BAC∠BAC. The point PPP is on ACACAC such that AP=6AP = 6AP=6. BPBPBP intersects ADADAD at NNN and AEAEAE at MMM. What is the value of
[ABC][ANM]\dfrac{[ABC]}{[ANM]}[ANM][ABC] ?
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