MathDB
1997 Problem

Source: 1997 USAMO #2

April 17, 2005
geometrycircumcircletrigonometryAMCUSA(J)MOUSAMOradical axis

Problem Statement

Let ABCABC be a triangle. Take points DD, EE, FF on the perpendicular bisectors of BCBC, CACA, ABAB respectively. Show that the lines through AA, BB, CC perpendicular to EFEF, FDFD, DEDE respectively are concurrent.