MathDB

2

Part of 2013 Philippine MO

Problems(1)

PMO Finals #2

Source:

2/3/2013
2. Let P be a point in the interior of triangle ABC . Extend AP, BP, and CP to meet BC, AC, and AB at D, E, and F, respectively. If triangle APF, triangle BPD and triangle CPE have equal areas, prove that P is the centroid of triangle ABC .
geometry