2017 USAJMO Problems/Problem 3
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 .
Solution
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
See also
| 2017 USAJMO (Problems • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAJMO Problems and Solutions | ||
