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find h such that A(-1,h),B(3,2),C(7,3) are collinear.

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Q: Angle bisectors of a triangle are concurrent at this point?
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Continue Learning about Geometry

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 Point of concurrency of the angle bisectors of a triangle?

incenter


What best describes the incenter of a triangle?

the point where the three angle bisectors of the triangle intersect


2 The intersection point of concurrency of the three perpendicular bisectors is called the?

Circumcenter. The circumcenter of a triangle is the center of the circumcircle of the triangle. It is the point, O, at which the perpendiculars bisectors of the sides of a triangle are concurrent. The circumcircle of a triangle is the circle that passes through the three vertices. Its center is at the circumcenter.


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.