Question

Where does the othocentre lie in an obtuse angled triangle?

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

Answer 1

The correct option is B

Outside the triangle

Location of orthocentre with respect to a triangle is based upon the type of triangle in question:

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

- If the triangle is right angled triangle, it lies on the rectangular vertex of the triangle.

- If the triangle is obtuse angled triangle, it lies outside the triangle as shown in the figure:

In the figure, For obtuse angled triangle, $△ABC,O$ is the orthocentre.