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Points of Center of a Triangle

Points of Center of a Triangle

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Tags: math   geometry   high school  

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Incenter
Point of concurrency of the angle bisectors

This point is equidistant from the sides of a triangle





This point can find a location equidistant from three roads

A circle centered at this point will inscribe the triangle

Centroid
Point of concurrency of the medians

Point is 2/3 of the distance from the vertex to the midpoint of the opposite side


This point is the balance point of the shape


The distance from this point to the midpoint of the triangle is 1/3 the total

Circumcenter
Point of concurrency of the perpendicular bisectors

This point is equidistant from the vertices






This point can locate a point equidistant from 3 towns

A circled centered at this point will circumscribe a triangle

Orthocenter
Point of the concurrency of the altitudes