Difference between revisions of "2017 USAJMO Problems/Problem 5"
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Revision as of 20:35, 20 April 2017
Problem
Let 
and 
be the circumcenter and the orthocenter of an acute triangle 
. Points 
and 
lie on side 
such that 
and 
. Ray 
intersects the circumcircle of triangle 
in point 
. Prove that 
.
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 1 |
Followed by Problem 3 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAJMO Problems and Solutions | ||
