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question 11 of 25 the ______ of a triangle is the center of the only ci…

Question

question 11 of 25
the ______ of a triangle is the center of the only circle that can be circumscribed about it.
a. altitude
b. incenter
c. circumcenter

Explanation:

Brief Explanations
  • An altitude is a perpendicular segment from a vertex to the opposite side, not a circle center.
  • The incenter is the center of the inscribed circle inside the triangle, not the circumscribed one.
  • The circumcenter is the intersection of a triangle's perpendicular bisectors, and it is the center of the unique circumscribed circle passing through all three vertices of the triangle.

Answer:

C. circumcenter