Circumcenter of a Triangle

Drag the vertices of the triangle and check the check boxes to investigate.

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In any triangle, a circle maybe drawn such that it passes through the three vertices of the triangle. This circle is called the circumcircle of the triangle. The intersection of the perpendicular bisectors is the center of the circumcircle. The center of the circumcircle is called the circumcenter.

Circumcircle and Incircle of a Triangle

This GeoGebra worksheet below shows that in a triangle, you can always create an incircle (a circle inside the triangle tangent to the tree sides) and a circumcircle (circle passing through the three vertices).

Drag the vertices of the triangle and observe what happens.



You can download the ggb file here and the tutorial how to construct it here.