Difference between revisions of "2017 USAJMO Problems/Problem 3"
(Created page with "==Problem== (<math>*</math>) Let <math>ABC</math> be an equilateral triangle and let <math>P</math> be a point on its circumcircle. Let lines <math>PA</math> and <math>PB</mat...") |
(No difference)
|
Revision as of 18:13, 19 April 2017
Problem
() Let
be an equilateral triangle and let
be a point on its circumcircle. Let lines
and
intersect at
; let lines
and
intersect at
; and let lines
and
intersect at
. Prove that the area of triangle
is twice that of triangle
.