Question

Please help

Given △ABC is equilateral, what can be determined about its centroid and circumcenter?

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A They are at the same point inside of the triangle.
B They are at the same point outside of the triangle.
C The centroid is inside the triangle and the circumcenter is outside of it.
D They are both inside of the triangle, but not at the same point.
E The circumcenter is inside the triangle and the centroid is outside of it.
F They are both outside of the triangle, but not at the same point.

Answer 1

Option A. is correct.

Explanation:

Given: △ABC is equilateral

To find: the correct option

Solution:

An equilateral triangle is a triangle in which all sides are equal and all angles are of equal measures.

Centroid is a intersecting point of three medians of a triangle.

Circumcenter is the intersecting point of the three perpendicular bisectors of a triangle.

In an equilateral triangle,

centroid and circumcenter are at the same point inside of the triangle.

Option A. is correct.