MathDB
concurrent Euler lines

Source: Indian Postal Coaching 2007 set 6 p5

May 25, 2020
Euler Lineconcurrentgeometryequal angles

Problem Statement

Let PP be an interior point of triangle ABCABC such that BPC=CPA=APB=120o\angle BPC = \angle CPA =\angle APB = 120^o. Prove that the Euler lines of triangles APB,BPC,CPAAPB,BPC,CPA are concurrent.