Yes, it can.
When the triangle is obtuse.
always
true
The circumcentre is outside the triangle - next to the longest line.
All triangles with an obtuse angle will have the circumcentre outside the boundary of the triangle.
The circumcenter can be inside or outside the triangle.
When the triangle is obtuse.
It will, if the triangle is obtuse.
always
true
The circumcenter of a triangle is the center of the circle drawn outside the triangle with all three vertices touching its circumference.
Yes, it is.
both
The circumcentre is outside the triangle - next to the longest line.
orthocenter and circumcenter
When a circle is drawn around a triangle touching each of its 3 vertices the circumcenter of the triangle is found by drawing 3 perpendicular lines at the midpoint of each of its sides and where these lines intersect within the triangle is its circumcenter.Apex: A. The circumcenter is equidistant from each vertex of the triangle. B. The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides. C. The circumcenter of an obtuse triangle is always outside it.
All triangles with an obtuse angle will have the circumcentre outside the boundary of the triangle.