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

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

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a right triange

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

They are not. The perpendicular bisectors of a triangle, for example, intersect at the orthocentre of the triangle. So perpendicular lines can be intersecting and conversely.

yes, because perpendicular lines always intersect. all lines intersect unless they are parallel or on separate planes (skew)

The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)

Related questions

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.

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 perpendicular bisectors of the sides of a triangle intersect at its circumcentre.

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

a right triange

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

Only at the midpoint of the hypotenuse.

They are not. The perpendicular bisectors of a triangle, for example, intersect at the orthocentre of the triangle. So perpendicular lines can be intersecting and conversely.

yes, because perpendicular lines always intersect. all lines intersect unless they are parallel or on separate planes (skew)

Circumcenter

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