The number of triangles that can be formed by the perpendiculars bisectors of the sides of a triangle is

Prove that the perpendicular bisectors of the sides of triangle are concurrent.

Show that the perpendicular bisectors of the sides of a triangle are concurrent.

Show that the perpendicular bisectors of the sides of a triangle are concurrent.

What is the point of concurrence of the perpendicular bisectors of the sides of a triangle called?

Prove analytically that the perpendicular bisector of the sides of a triangle ar concurrent.

Consider the following statements : 1. The point of intersection of the perpendicular bisectors of the sides of a triangle may lie outside the triangle. 2. The point of intersection of the perpendiculars drawn from the vertices to the opposite sides of a triangle may lie on two sides. Which of the above statements is/are correct ?

The number of triangle that can be formed by joining the vertices of a regular polygon of n sides is