Q: Do the three altitudes of an obtuse triangle always intersect inside the triangle?

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The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)

The point where the three altitudes of a triangle intersect is called the orthocenter. This can be located either inside or outside of the triangle.

Always.

Yes.

The orthocenter of a triangle is the point where the altitudes of the triangle intersect. It may lie inside, outside, or on the triangle depending on the type of triangle. In an acute triangle, the orthocenter lies inside the triangle; in a right triangle, it is at the vertex opposite the right angle; and in an obtuse triangle, it is outside the triangle.

Related questions

The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)

The point where the altitudes of a triangle intersect is called the orthocenter. This point is concurrent, meaning the three altitudes intersect at this single point inside or outside the triangle. The orthocenter is different from the centroid, circumcenter, and incenter of a triangle.

The point where the three altitudes of a triangle intersect is called the orthocenter. This can be located either inside or outside of the triangle.

Yes.

Yes.

Yes.

Always.

The orthocenter of a triangle is the point where the altitudes of the triangle intersect. It may lie inside, outside, or on the triangle depending on the type of triangle. In an acute triangle, the orthocenter lies inside the triangle; in a right triangle, it is at the vertex opposite the right angle; and in an obtuse triangle, it is outside the triangle.

An altitude intersects another altitude at the centroid. FALSE - The altitudes intersect at what is called the orthocenter.An altitude intersects another altitude at its midpoint. FALSE - The altitudes will meet at random intersection points.An altitude is present inside a triangle FALSE - The altitude can be outside the triangle.An altitude makes a right angle with a side of the triangle. TRUE - An altitude is the line from a vertex to the opposite side, forming a right angle.

The orthocenter is the point where the altitudes of a triangle intersect. An orthocenter lies outside of a triangle only when the triangle is obtuse. If a triangle is acute, the orthocenter lies inside of the triangle.

No. Not if the triangle is right angled (the intersection is AT the right vertex) or obtuse angled (intersection outside).

As with any triangle, inside the triangle.