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In triangle ABC,ABC,ABC, EEE lies on ACACAC and FFF lies on ABABAB such that FE∥BC.FE \parallel BC.FE∥BC. PPP is the intersection point of BEBEBE and CF,CF,CF, and extension of APAPAP meets BCBCBC at point D.D.D. Given that AE=2,CE=3,AD=7,AE=2, \quad CE=3, \quad AD=7,AE=2,CE=3,AD=7, find length of AP. AP.AP.
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