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!
It doesn't ever fall outside of a triangle.
A point outside the triangle may.
When the triangle is obtuse.
It will, if 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
Its interior.
Its centroid.
False