Question

The orthocentre of an obtuse angled triangle is ______________.

• A. Outside the triangle
• B. Inside the triangle
• C. On the greatest side of the triangle
• D. On the smallest side of the triangle

Answer 1

The correct option is A Outside the triangle

The ortho-centre of a triangle is the point of concurrence of its altitudes. Since the altitudes of an obtuse angled triangle are always intersect each other at a point outside the triangle. Hence, the ortho-centre of an obtuse angled triangle is always outside the triangle.

[Note: In a right angled triangle the orthocentre is at the vetex of the right angle.]