Question

What are the possible locations of the orthocentre of a triangle?

• A. Inside the triangle
• B. Outside the triangle
• C. On the hypotenuse of the triangle
• D. On the rectangular vertex of the triangle

Answer 1

Answer: (A), (B), (D)

The correct options are
A

Inside the triangle

B

Outside the triangle

D

On the rectangular vertex of the triangle

Orthocentre is the point of intersection of the altitudes of a triangle. It can either lie inside, on or outside the triangle. This depends on the type of triangle in question:

- If the triangle is acute angled triangle, it lies inside the triangle.

- If the triangle is obtuse angled triangle, it lies outside the triangle.

- If the triangle is right angled triangle, it lies on the rectangular vertex of the triangle. [Rectangular vertex is the vertex on which the right angle is formed]