The point where the perpendicular bisectors of the three sides of the triangle intersect
It is the incentre.
incenter
It is the incentre.
It is the circumcentre.
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.
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
It is the incentre.
It is the circumcentre, the unique point from which you can draw a circle (the circumscribed circle) which passes through all three vertices.
incenter
all three perpendicular bisectors elongate to meet at the incenter of the 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.
the point where the three angle bisectors of the triangle intersect
incenter
It is the incentre.