*For an obtuse triangle (a triangle with one angle bigger than a right angle), the circumcenter always lies outside the triangle.

These locational features can be seen by considering the trilinear or barycentric coordinates given above for the circumcenter: all three coordinates are positive for any interior point, at least one coordinate is negative for any exterior point, and one coordinate is zero and two are positive for a non-vertex point on a side of the triangle.

Angles

The

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