Question

the diagram shows the orthocenter of an acute triangle. drag vertex c to form a right triangle and an obtuse triangle. which statements are true about the orthocenter? choose three correct answers. it lies on an obtuse triangle. it lies on a right triangle. it lies outside an obtuse triangle. it lies inside an acute triangle.

Explanation:

• For an acute triangle, the orthocenter lies inside the triangle.
• For a right triangle, the orthocenter is at the vertex of the right - angle (so it lies on the right triangle).
• For an obtuse triangle, the orthocenter lies outside the triangle.

Answer:

• It lies on a right triangle.
• It lies outside an obtuse triangle.
• It lies inside an acute triangle.