What room the clues of concurrency in a triangle and also what is mathematically special around each the them?

The **centroid** is the point of concurrency (intersection) the the 3 medians the a triangle. A median is a segment joining a vertex of a triangle through the midpoint of opposing side.

You are watching: Point of concurrency in a triangle

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*The centroid of triangle abc is point D.*

An **orthocenter** is the point of concurrency that the three altitudes that a triangle. One altitude is the perpendicular line drawn from a vertex to the the opposite side.

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*The orthocenter that triangle abc is point O.*

An **incenter** is the point of concurrency of the three angle bisectors the a triangle. An angle bisector is the ray which bisects one angle, or divides the angle into two congruent angles.

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*The incenter that triangle alphabet is point I.*

A **circumcenter** is the point of concurrency of the 3 perpendicular bisectors that a triangle. A perpendicular bisector is a segment i m sorry bisects a segment and forms appropriate angles.

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*The circumcenter that triangle alphabet is suggest M.*

To see exactly how these point out of concurrency space constructed, please watch my short Screencast video.

*Now that you have seen exactly how to build a triangle’s points of concurrency using geometry, how might you usage coordinate geometry and algebra to recognize the points of concurrency?*

Given points A(10,7) B(10,1) and C(2,1), find the collaborates of the following:

centroidorthocenterincentercircumcenterCheck your answers utilizing this handy allude of Concurrency web calculator.

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