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What is the name of the point at which all of the triangle's perpendicular bisectors intersect?
Circumcenter, this is the center-point of a circle circumscribed around the triangle. If the triangle is obtuse, then this point is outside the triangle and if the triangle is a right triangle, then the point is the midpoint of the hypotenuse.
Why is the centroid of a triangle important?
It is the triangle's point of equilibrium or its point of balance.
What is the point equidistant from the three sides of a triangle?
The point equidistant from the three sides of a triangle is the center of the triangle. The center of the triangle is the point of intersection of the medians of the triangle. The medians of a triangle are the line segments that join the vertices of the triangle to the midpoints of the opposite sides.
It is the common point where the sides of the triangle meet?
The sides of a triangle do not meet in a point, so there is no "the common point".
What is the incenter of a triangle?
It is the meeting point or point of concurrency of three angle bisectors of a triangle.
