MathDB
Parallelogram

Source: Argentinian National Olympiad- 1995-level 3

August 10, 2018
geometryparallelogram

Problem Statement

Let ABCD be a parallelogram, and P a point such that 2PDA=ABP2 PDA=ABP and 2PAD=PCD2 PAD=PCD Show that AB=BP=CPAB=BP=CP