Special Centers of Triangles

From GeoGebraWiki

Special Centers of Triangles Download Created by Cullen G.E. Stevens

Special centers of triangles can be found by finding the point of concurrency of different lines. The circumcenter of the triangles is the point of concurrency of the perpendicular bisectors of the triangle. Similarly, the point of concurrency of the angle bisectors is called the incenter of the triangle, the medians produce the centroid, and the altitudes the orthocenter.

The included example displays four congruent triangles and one of the special centers. Change the upper left triangle (all triangles will remain congruent) to examine how the special centers are affected.

Triangle Tools Download Created by David Corne This is a useful tool for finding many of the special centres of triangles including the orthocentre, centre of gravity, incentre and circumcentre. It will also construct medians, inscribed and circumscribed circles.

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