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It is the circumcentre, the unique point from which you can draw a circle (the circumscribed circle) which passes through all three vertices.

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Related Questions

Is the three perpendicular bisector of a triangle intersect at a point in the exterior of the triangle true or false?

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.


Which best describes the circumcenter of a triangle?

The point where the perpendicular bisectors of the three sides of the triangle intersect


Can the angle bisector of a triangle also be the perpendicular bisector?

Yes. The bisector of one angle of a triangle is the perpendicular bisector of theopposite side if the bisected angle is the vertex angle of an isosceles triangle,or any angle of an equilateral triangle.


Perpendicular bisector of a triangle?

Is a line that bisects a side of a triangle and is perpendicular to that side.


The orthocenter is the point shared by the angle bisector of a triangle?

Actually, the orthocenter of a triangle is the point where the three altitudes of the triangle intersect. The altitudes are perpendicular lines drawn from each vertex to the opposite side. The angle bisectors of a triangle intersect at the incenter, not the orthocenter.


Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect?

Circumcenter


How does the perpendicular bisector affect the vertex angle of an isoceles triangle?

The perpendicular bisector bisects the angle at the vertex.


Will an angle bisector ever intersect outside the triangle?

No.


Do the perpendicular bisectors of a triangle always sometimes or never intersect on the triangle?

The perpendicular bisectors only intersect on the triangle when it is an isosceles right triangle.


Is the altitude of a triangle always the perpendicular bisector?

No.


Is a perpendicular bisector always an angle bisector?

thank goodness for my math teacher, norm! he said only in an isosceles triangle. The bisector of the vertex angle of an isosceles triangle is perpendicular to the base! =)


Which term describes the point where the perpendicular bisectors of the sides of a 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.