Question

Triangle A B C is shown. Lines are drawn from each point to the opposite side and intersect at point D.
ABC is an obtuse triangle. Which is true about point D?

Point D can be the orthocenter because it is the point of intersection of three segments coming from the vertices of the triangle.
Point D can be the orthocenter because each vertex angle appears to be bisected.
Point D cannot be the orthocenter because the orthocenter of an obtuse triangle is located outside the triangle.
Point D cannot be the orthocenter because the orthocenter of an obtuse triangle is located on the perimeter of the triangle.

Answer 1

Option 3 is true.

Reason: In an obtuse triangle the altitudes meet at a point outside the triangle, so the orthocenter lies outside. Since D is shown inside the triangle, it cannot be the orthocenter.