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What is the purpose of an orthocenter?

In short, the orthocenter really has no purpose. There are 4 points of Concurrency in Triangles: 1) The Centroid - the point of concurrency where the 3 medians of a triangle meet. This point is also the triangle's center of gravity. 2) The Circumcenter - the point of concurrency where the perpendicular bisectors of all three sides of the triangle meet. This point is the center of the triangle's circumscribed circle. 3) The Incenter - the point of concurrency where the angle bisectors of all three angles of the triangle meet. Like the circumcenter, the incenter is the center of the inscribed circle of a triangle. 4) The Orthocenter - the point of concurrency where the 3 altitudes of a triangle meet. Unlike the other three points of concurrency, the orthocenter is only there to show that altitudes are concurrent. Thus, bringing me back to the initial statement.


What is the point in a triangle where all three angle bisectors meet?

The point in a triangle where all three angle bisectors meet is called the incenter.


What is a circumcenter of a triangle?

The point of concurrency (intersection) of 3 perpendicular bisectors (the lines that cut the sides of the triangle in half at a 90 degree angle...think of a plus sign--+) of a triangle. It's equidistant to the 3 vertices (points or ends) of the triangle.


What best describes the incenter of a triangle?

the point where the three angle bisectors of the triangle intersect


Angle bisector of a triangle?

The angle bisectors of a triangle are the lines which cut the inner angles of a triangle into equal halves. The angle bisectors are concurrent and intersect at the center of the incircle.

Related Questions

What is the point of concurrency of the perpendicular bisectors of a triangle called?

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


The Point of Concurrency of the Angle Bisectors of a Triangle?

The point of concurrency is the point intersection.


The point of concurrency of the angle bisectors of a triangle is called?

incenter of a triangle


What is point of concurrency for angle bisectors?

The point of concurrency for angle bisectors is known as the incenter of a triangle. It is the point where the three angle bisectors intersect, and it is equidistant from all three sides of the triangle. The incenter is also the center of the inscribed circle (incircle) that can be drawn within the triangle.


What is the incenter of a triangle?

It is the meeting point or point of concurrency of three angle bisectors of a triangle.


What triangle is the point of concurrency of the angle bisectors of a triangle?

circumcenter circumcenter is wrong, it is the incenterbecause the point of concurrency is always on the inside of the triangle.


Where is the point of concurrency of the angle bisectors of a triangle?

The point of concurrency of the angle bisectors of a triangle is called the incenter. The incenter is located at the intersection of the triangle's three angle bisectors and is equidistant from all three sides of the triangle. This point serves as the center of the inscribed circle (incircle), which is tangent to each side of the triangle.


What is incentre of a triangle?

The point of concurrency of all angle bisectors of a triangle is called Incentre.


In any triangle the point where the angle bisectors meet is called?

point of concurrency (incenter)


Is this statement true or falseThe circumcenter of a triangle is the point of concurrency of the angle bisectors of a triangle?

false


Is the distance from the point of concurrency of the angle bisectors of a triangle to a point on the inscribed circle is the radius of the cirlce?

yes


Is the distance from the point of concurrency of the angle bisectors of a triangle to a point on the inscribed circle is the radius of the circle True or False?

false