# Answer to Question #16705 in Geometry for Perri

Question #16705

Rosita is installing a round sink in her new kitchen countertop. She has marked three points on the countertop to indicate points through which a circle must pass so that she can install the sink. Which point of concurrency of the trianle connecting the three points must she locate to construct the circle?

Expert's answer

To the construct the circle she must locate the circumcenter of a triangle.

The circumcenter of a triangle can be found as the intersection of any two perpendicular bisectors.

A perpendicular bisector is a line that forms a right angle with one of the triangle’s side and intersects that side at its midpoint.

The circumcenter is equidistant from any pair of the triangle’s vertices.

The circle radius will be as a distance from circumcenter to any triangle’s vertex.

The circumcenter of a triangle can be found as the intersection of any two perpendicular bisectors.

A perpendicular bisector is a line that forms a right angle with one of the triangle’s side and intersects that side at its midpoint.

The circumcenter is equidistant from any pair of the triangle’s vertices.

The circle radius will be as a distance from circumcenter to any triangle’s vertex.

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