Question

in which type of triangle is the orthocenter on the perimeter of the triangle?
○ a right triangle
○ an acute triangle
○ an obtuse triangle
○ an equilateral triangle

Explanation:

The orthocenter is the point where the altitudes of a triangle intersect. In a right triangle, the two legs are altitudes themselves, and they intersect at the right - angled vertex. This right - angled vertex lies on the perimeter of the triangle. For an acute triangle, the orthocenter lies inside the triangle. For an obtuse triangle, the orthocenter lies outside the triangle. An equilateral triangle is a type of acute triangle, so its orthocenter also lies inside the triangle.

Answer:

a right triangle