Don't be Fooled
If is a triangle such that the orthocenter lies on the circumcircle, then find the greatest internal angle of (in degrees).
The answer is 90.
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1 solution
Moderator note:
Why does this imply that "the orthocenter must be on one of the vertices"?
If the orthocenter lies on the circles circumscribed circumference, and we already know that this implies that the vertices are already on the circumference then the orthocenter must be on one of the vertices. If this is the case, then we have a right triangle. If we have a right triangle then we know the greatest internal angle must be 90.