Question

The point of concurrence of perpendicular bisectors of the sides of a triangle is called ​

Answer 1

Answer:

The three perpendicular bisectors of a triangle intersect at a single point. The point of concurrency of the perpendicular bisectors is called the circumcenter.

Answer 2

The point of concurrence of perpendicular bisectors of the sides of a triangle is called circumcenter.

Explanation:

• A line perpendicular to the side is called perpendicular bisector of a side of a triangle and it passes through the midpoint.
• The three or more lines intersect at a point is called a point of concurrency.
• The circumcenter is the single point where all the perpendicular bisectors meet.
• In acute triangles, the circumcenter lies inside the triangle and for obtuse triangle it lies on the outside of a triangle.
• For right triangles, the circumcenter lies on the hypotenuse.
• In an isosceles right triangle, the circumcenter coincides with the midpoint.