Question

What are the possible location(s) of circumcentre in a triangle?

• A. Inside the triangle
• B. Outside the triangle
• C. On the hypotenuse of the triangle
• D. On either of the vertices of the triangle

Answer 1

Answer: (A), (B), (C)

The correct options are
A

Inside the triangle

B

Outside the triangle

C

On the hypotenuse of the triangle

The centre of the circumcircle is called circumcentre of the triangle. The distance between circumcentre and any one of the vertex of the triangle is called circumradius. The location of the circumcentre depends on the type of triangle:

- If the triangle is acute angeled triangle, then the circumcentre lies inside the triangle.

- If the triangle in obtuse angled triangle, then the circumcentre lies outside the triangle.

- If the triangle is right angled triangle, then the circumcentre lies on the hypotenuse of the triangle.

So, the possible locations of circumcentre in triangle are:

A. Inside the triangle

B. Outside the triangle

C. On the hypotenuse of the triangle