Its centroid.
It doesn't ever fall outside of a triangle.
A point outside the triangle may.
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.
Its centroid.
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!
incenter and centroidIncenter, CentroidThe inscribed circle.
It doesn't ever fall outside of a triangle.
A point outside the triangle may.
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.
In an obtuse angled triangle, two of them will.
yes