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circumcenter circumcenter is wrong, it is the incenterbecause the point of concurrency is always on the inside of the triangle.
Depends on the point of concurrency of what. The point of concurrency of altitudes will be outside in any obtuse triangle.
The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)
No.
Where the medians meet, inside the triangle.