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question 2 the _ is always equidistant from the three vertices of the t…

Question

question 2
the _ is always equidistant from the three vertices of the triangle.
incenter
centroid
circumcenter
a, b, and c are all correct.

Explanation:

Brief Explanations
  • Incenter: The incenter is equidistant from the sides of the triangle, not the vertices.
  • Centroid: The centroid divides the medians in a \(2:1\) ratio but is not equidistant from the vertices.
  • Circumcenter: The circumcenter is the center of the circum - circle of the triangle. By the definition of a circum - circle, the circumcenter is equidistant from the three vertices of the triangle.

Answer:

Circumcenter