Question

Where does the orthocentre of a right angled triangle lie?

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

Answer 1

The correct option is C

On the rectangular vertex of the triangle

Orthocentre is the intersection of the altitudes of a triangle. If we draw the altitudes of a right angled triangle and try to find the orthocentre, we find that it lies on the rectangular vertex of the triangle.

For the right angled triangle ABC, right angled at B; AB and BC are the altitudes from vertices A and C respectively. The third altitude is the perpendicular from vertex B on the side AC. They all intersect at vertex B. So, B(rectangular vertex) is the Orthocentre.