Circumcenter
The radius is DE
The incenter is the point of concurrency of the perpendicular bisectors of the triangle's sides
Yes. They have perpendicular bisectors in the four triangles that make up four of the five sides of a square-based pyramid
The point where the perpendicular bisectors of the three sides of the triangle intersect
The point where the perpendicular bisectors of the sides of a triangle intersect is called the circumcenter. This point is equidistant from all three vertices of the triangle and serves as the center of the circumcircle, which is the circle that passes through all the vertices of the triangle.
circumcenter
circumcenter
The radius is DE
The incenter is the point of concurrency of the perpendicular bisectors of the triangle's sides
The three ANGLE bisectors of a triangle also bisect the sides, and intersect at a point INSIDE the triangle. The angle bisectors are not necessarily perpendicular to them. The perpendicular bisectors of the sides can intersect in a point either inside or outside the triangle, depending on the shape of the triangle.
Yes. They have perpendicular bisectors in the four triangles that make up four of the five sides of a square-based pyramid
The three perpendicular bisectors (of the sides) of a triangle intersect at the circumcentre - the centre of the circle on which the three vertices of the triangle sit.
Circumcenter
The point where the perpendicular bisectors of the three sides of the triangle intersect
The point where the perpendicular bisectors of the sides of a triangle intersect is called the circumcenter. This point is equidistant from all three vertices of the triangle and serves as the center of the circumcircle, which is the circle that passes through all the vertices of the triangle.
The centroid or centre of gravity. It will also be the point where the bisectors of the angles, and the perpendicular bisectors of the sides meet.
The angle bisectors of a regular polygon are always concurrent. And the point that they meet at is also the meeting point of the perpendicular bisectors of the sides. If it is a polygon with an odd nmber of sides, the "medians" [line from vertex to mid-point of opposite side] and "altitudes" [perpendicular from vertex to opposite side] will also meet at the same point.