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Another triangle

Source: Indian RMO 1991 Problem 1

October 15, 2005
geometry

Problem Statement

Let PP be an interior point of a triangle ABCABC and AP,BP,CPAP,BP,CP meet the sides BC,CA,ABBC,CA,AB in D,E,FD,E,F respectively. Show that APPD=AFFB+AEEC. \frac{AP}{PD} = \frac{AF}{FB} + \frac{AE}{EC}. [hide="Remark"]This is known as Van Aubel's Theorem.
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