Circumcenter
Consider what happens with the position of the circumcenter when the triangle
is right, obtuse, or equilateral.
Location for right triangles:
When the triangle is right, the circumcenter is the midpoint of the
hypotenuse.
Location for obtuse triangles:
When the triangle is obtuse, the point that is the same distance from
the vertices is outside of the triangle.
Location for equilateral triangles:
When the triangle is equilateral, the circumcenter is located at the
same position as the centroid, circumcenter, and incenter.
Click Here to use a
GSP script for the construction of the circumcenter.
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