Question

Which of the following is a characteristic of the circumcenter of a triangle?
a. it is the intersection of all three angle bisectors of a triangle
b. it is equidistant from all the vertices in the triangle
c. it is equidistant from all three sides of a triangle
d. it is the center of the circle that can be inscribed in a given triangle

Answer 1

Circumcenter  is equidistant from all the vertices in the triangle

Step-by-step explanation:

circumcenter is the point where the perpendicular bisectors of a triangle intersect.

Circumcenter  is equidistant from all the vertices in the triangle

intersection of all three angle bisectors of a triangle is The Incenter of a triangle

The Incenter is equidistant from all three sides of a triangle

The Incenter  is the center of the circle that can be inscribed in a given triangle

Circumcenter  is equidistant from all the vertices in the triangle

Learn more:

then circumcentre of triangle is

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Answer 2

Answer:D

Step-by-step explanation: