Question

For a triangle PQR, if the circumcenter is C. Will triangle PQT also have the same circumcenter if T is another point on the circumcircle?

• A. True
• B. False

Answer 1

The correct option is A

True

A circle passing through all the three vertices of the triangle is called circumcircle. Centre of the circumcircle of the triangle is called Circumcentre and the distance between circumcentre and any vertices of that triangle is called circumradius.

So, if a triangle is formed by joining any three distinct points on a circle, all the triangles will have the same circumcenter.