A circumcenter is a point that lies at the intersection of the perpendicular bisectors of the sides of the triangle.
The properties of the circumcenter of a triangle are :
Note : A circumcircle is a circle that passes through all of the vertices of the triangle . A triangle has only one circumcircle.
The Circumcentre of the triangle is defined as the point of intersection of the perpendicular bisectors of each side of the triangle. The point of intersection is also referred to as the concurrency.
The properties of the circumcentre of the triangle are:
1. The circumcentre of the acute triangle will lie within the triangle.
2. In the case of a right-angled triangle, the circumcentre will lie in the middle of a hypotenuse.
3. The circumcentre will lie outside the obtuse triangle.
4. The vertices of all the bisectors are equidistant from the circumcenter.
5. Each triangle has only one circumcentre.
Therefore, the circumcentre is the point where all the bisectors of the three sides of the triangle intersect.
Find the image below for the circumcentre.
To know more about circumcentre, refer to the following link:
https://brainly.com/question/17198596
