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

• 1) Circumcentre
• 2) Incentre
• 3) Congruent
• 4) Concurrent

The point of intersection of the perpendicular bisectors of the sides of a triangle is known as the Circumcentre. This point is equidistant from all three vertices of the triangle and serves as the center of the circumcircle, which is the circle that passes through all the triangle's vertices.

Key Characteristics of the Circumcentre

• The circumcentre can be located inside, outside, or on the triangle, depending on the type of triangle.
• In an acute triangle, the circumcentre is inside the triangle.
• For a right triangle, it lies on the hypotenuse.
• In an obtuse triangle, the circumcentre is outside the triangle.

Other Points of Interest

While the circumcentre is important, there are other notable points in a triangle:

• Incentre: The intersection of the angle bisectors, which is the center of the incircle.
• Centroid: The point where the three medians intersect, representing the triangle's center of mass.
• Orthocentre: The intersection of the altitudes of the triangle.