What space the point out of concurrency in a triangle and what is mathematically special about each of them?

The **centroid** is the allude of concurrency (intersection) that the three medians the a triangle. A mean is a segment authorized a crest of a triangle through the midpoint of the contrary side.

You are watching: Point of concurrency in a triangle

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*The centroid the triangle abc is point D.*

An **orthocenter** is the suggest of concurrency of the 3 altitudes that a triangle. One altitude is the perpendicular line drawn from a vertex to the the contrary side.

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*The orthocenter that triangle alphabet is suggest O.*

An **incenter** is the allude of concurrency of the 3 angle bisectors that a triangle. An angle bisector is the beam which bisects one angle, or divides the angle right into two congruent angles.

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*The incenter that triangle abc is allude I.*

A **circumcenter** is the suggest of concurrency of the 3 perpendicular bisectors that a triangle. A perpendicular bisector is a segment i beg your pardon bisects a segment and also forms appropriate angles.

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*The circumcenter the triangle abc is point M.*

To see just how these clues of concurrency space constructed, you re welcome watch my quick Screencast video.

*Now that you have seen exactly how to build a triangle’s clues of concurrency using geometry, how can you usage coordinate geometry and algebra to determine the point out of concurrency?*

Given clues A(10,7) B(10,1) and C(2,1), uncover the works with of the following:

centroidorthocenterincentercircumcenterCheck her answers utilizing this handy allude of Concurrency net calculator.

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