always
true
Never
There is no circumference of a triangle. If the perimeter of a triangle is what you are wondering about, it is different for each triangle. Just add the three sides together.
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.
always
true
Never
The circumcenter of a triangle is the center of the circle drawn outside the triangle with all three vertices touching its circumference.
triangle does not have a circumference, a circle has a circumference. A triangle only has a hypotenuse (Pythagoras sort of stuff). The circumference of a circle is the perimeter of it, so, perhaps, if your teacher ask for the circumference of a triangle he/she might mean the perimeter of the triangle.
There is no circumference of a triangle. If the perimeter of a triangle is what you are wondering about, it is different for each triangle. Just add the three sides together.
A median of a triangle is a line segment joining the vertex to the midpoint of the opposite side. The medians ( each triangle has 3) always intersect at a point call the centroid and the centroid is always INSIDE the triangle.APEX: The incenter of a triangle ________ falls outside of its triangle. = neverA median of a triangle may fall outside the triangle? false apex!!!!!!!!
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.
It doesn't ever fall outside of a triangle.
A bigger triangle.
Well, a triangle isn't a circle, so you cant find the circumference of it.