which best describes the circumcenter of a triangle ?

A. the point where the three angle bisectors of the triangle intersect

B. the point where the three angle altitudes of the triangle intersect

C. the point where the three angle medians of the triangle intersect

D. the point where the perpendicular bisectors of the three sides of the triangle intersect

Respuesta :

D. The point where the perpendicular bisectors of the three sides of the triangle intersect.

Answer:

(D)

Step-by-step explanation:

Circumcenter of the triangle is the  point at which the perpendicular bisectors of the sides of a triangle intersect and which is equidistant from the three vertices.

From the figure drawn, E is the circumcenter of the triangle at which the perpendicular bisectors of the sides of a triangle ABC intersects and which is equidistant from the three vertices that are A, B and C.

Thus, the option which best describes the circumcenter of a triangle is (D.) the point where the perpendicular bisectors of the three sides of the triangle intersect.

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