Answer:
a) True
Step-by-step explanation:
This is a fundamental property of the circumcenter of a triangle.
The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect. The perpendicular bisector of a side is a line that is perpendicular to the side and passes through its midpoint. If you draw the perpendicular bisectors for each side of a triangle, they will intersect at a single point, which is the circumcenter.
The circumcenter is equidistant from the vertices of the triangle, and therefore it is equidistant from the sides as well. This is because, for any point on the perpendicular bisector of a side, the distance to each endpoint of that side is the same (due to the midpoint property).
So, the statement is correct: the center of the circle (circumcenter) is on the perpendicular bisectors for each side, and it is indeed equidistant from each side of the triangle.
