Waste less time on Facebook — follow Brilliant.

Circumcircle's Headache

Let ABC be an acute-angled triangle with AB =6 AC. The circle with diameter BC intersects the sides AB and AC at M and N, respectively. Denote by O the midpoint of BC. The bisectors of the angles BAC and MON intersect at R. Prove that the circumcircles of the triangles BMR and CNR have a common point lying on the line segment BC.

Note by Chinmay Sangawadekar
1 year ago

No vote yet
1 vote


There are no comments in this discussion.


Problem Loading...

Note Loading...

Set Loading...