Difference between revisions of "2017 USAJMO Problems/Problem 5"

Revision as of 19:35, 20 April 2017

Problem

Let $O$ and $H$ be the circumcenter and the orthocenter of an acute triangle $ABC$ . Points $M$ and $D$ lie on side $BC$ such that $BM = CM$ and $\angle BAD = \angle CAD$ . Ray $MO$ intersects the circumcircle of triangle $BHC$ in point $N$ . Prove that $\angle ADO = \angle HAN$ .

Solution

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

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	==See also==		==See also==
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2017 USAJMO (Problems • Resources)
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Difference between revisions of "2017 USAJMO Problems/Problem 5"

Revision as of 19:35, 20 April 2017

Problem

Solution

See also