2017 USAJMO Problems/Problem 5: Difference between revisions

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

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	==See also==		==See also==
	{{USAJMO newbox\|year=2017\|num-b=1\|num-a=3}}		{{USAJMO newbox\|year=2017\|num-b=4\|num-a=6}}

2017 USAJMO (Problems • Resources)
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2017 USAJMO Problems/Problem 5: Difference between revisions

Revision as of 19:35, 20 April 2017

Problem

Solution

See also