Question

In the given figure, how do we obtain the circumcentre?

• A. by measuring the height of the triangle
• B. by measuring the mid point of one side
• C. by drawing perpendicular bisectors of any two sides
• D. None of the above

Answer 1

The correct option is C by drawing perpendicular bisectors of any two sides

Draw the perpendicular bisectors to any two sides of $△ABC.$
Consider AM and NP, the perpendicular bisectors to sides BC and AB of $△ABC.$
The point of intersection of these is O, which is the circumcentre of the triangle.