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Question: 1 can the circumcenter of a triangle be on the...

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1. Can the circumcenter of a triangle be on the outside of a triangle? Can it be on a side of the triangle? On a vertex of the triangle?

2. Can the incenter of a triangle be on the outside of a triangle? Can it be on a side of the triangle? On a vertex of the triangle?

3. Can the centroid of a triangle be on the outside of a triangle? Can it be on a side of the triangle? On a vertex of the triangle?

4. Can the orthocenter of a triangle be on the outside of a triangle? Can it be on a side of the triangle? On a vertex of the triangle?

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