Q: The perpendicular bisectors of a triangle?

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

Equilateral triangles have 3 perpendicular bisectors

equalateral

circumcenter

circumcenter

Related questions

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

Equilateral triangles have 3 perpendicular bisectors

equilateral triangle

all three perpendicular bisectors elongate to meet at the incenter of the triangle.

Since the intersection of the perpendicular bisectors of a triangle is the center of the inscribed circle (we call it the centroid of a triangle), the answer is no.

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 circumcenter, the incenter is the point of concurrency of the angle bisectors of a triangle.

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.

equalateral

It is the circumcentre.

circumcenter