Question

True or False? The circumcenter of a triangle is the center of the only circle

Answer 1

The circumcenter of a triangle is the center of the only circle that can be inscribed about it. True or false?

Answer: False

Answer 2

Answer:

The statement is False

Step-by-step explanation:

we know that          

An inscribed circle is the largest circle contained within the triangle. The center of the circle inscribed in a triangle is the incenter of the triangle.

The incenter is the point where the angle bisectors of the triangle intersect.

The circumscribed circle is the circle that passes through all three vertices of the triangle. The center of the circumscribed circle is called the circumcenter of the triangle

The circumcenter is the point where the perpendicular bisectors of the sides intersect.

therefore

The circumcenter of a triangle is the center of the only circle

that can be circumscribed about it.

The statement is false