Which of the following are properties of the circumcenter of a triangle? Check all that apply.
A. The circumcenter is at the intersection of the perpendicular
bisectors of the triangle's sides.
B. The circumcenter of an obtuse triangle is always outside it.
M C. The circumcenter is equidistant from each vertex of the triangle.
D. The circumcenter is equidistant from each side of the triangle.

A. The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.

C. The circumcenter is equidistant fromeach vertex of the triangle.

D. The circumcenter is equidistant from each side of the triangle.

Step-by-step explanation:

The properties of the circumcenter of a triangle from the options given include:

• The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.

• The circumcenter is equidistant fromeach vertex of the triangle.

• The circumcenter is equidistant from each side of the triangle.

Option B is wrong as the circumcenter of an obtuse triangle is not always outside it. For the circumcenter, there is intersection of all the three lines and it's not important that they should always be outside.

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