both
orthocenter and circumcenter
You find the orthocenter by constructing the altitudes from the vertices in a triangle. If the triangle is obtuse, the orthocenter will fall outside the triangle. If the triangle is acute, the orthocenter will fall on the inside of the triangle. If the triangle is a right triangle, the orthocenter will lie on a vertix.
It will, if the triangle is obtuse.
When the triangle is obtuse.
The orthocenter may fall outside of a triangle. The orthocenter usually lies within the inside the triangle. However this is only the case if the triangle is acute.
An obtuse angled triangle.
A triangle with one angle bigger than 90 degrees will have its circumscribing circle's centre outside that triangle.
Obtuse triangle! To make this happen the altitude lines have to be extended so they cross.Hope this helps!
No, both of them don't.
The incenter of a triangle is the point at which the 3 medians (lines from the vertex to the middle of the side opposite the vertex) of the triangle intersect. Per it's definition, the incenter cannot ever fall outside the triangle. On the other hand, the orthocenter (intersection of the altitudes) can. It does so whenever the triangle is obtuse.
Its "incenter" will not fall outside the triangle, or outside the base of the triangle.
Every point in the plane outside the triangle can fall there!