Question

Where is the circumcenter of any given triangle?

A.the point of concurrency of the altitudes of the triangle
B.the point of concurrency of the perpendicular bisectors of the sides of the triangle
C.the point of concurrency of the bisectors of the angles of the triangle
D.the point of concurrency of the medians of the triangle

Answer 1

circumcenter of any given triangle is the point where three perpendicular bisectors meet is called circumcenter
the circumcenter of any given triangle is
.the point of concurrency of the perpendicular bisectors of the sides of the triangle
so option b is correct
hope it helps

Answer 2

The correct answer is:

B) the point of concurrency of the perpendicular bisectors of the sides of the triangle

Step-by-step explanation:

The definition of circumcenter is "the point of intersection of the perpendicular bisectors of a triangle."

To construct the circumcenter, we first construct the perpendicular bisector of each side of the triangle. Once we have these three lines, we find their point of intersection; this is the circumcenter.