Question

Where can the lines containing the altitudes of an obtuse triangle intersect.

Answer 1

The point, at which the lines containing the altitudes of a obtuse triangle intersect called orthocenter, is always outside the triangle.

Answer 2

Answer: The lines containing the altitudes of an obtuse triangle intersect at a point which lies outside the triangle called orthocenter.

Explanation:-

A line which passes through a vertex of the triangle and is perpendicular to the opposite side is called an altitude of the triangle.

The point where all three altitudes of the triangle intersect is called its orthocenter .

• Orthocenter of acute triangle lies inside the triangle.
• Orthocenter of right triangle lies on the triangle.
• Orthocenter of obtuse triangle lies outside the triangle.