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The incenter of a triangle is the point at which the 3 medians (lines from the vertex to the middle of the side opposite the vertex) of the triangle intersect.

Per it's definition, the incenter cannot ever fall outside the triangle.

On the other hand, the orthocenter (intersection of the altitudes) can. It does so whenever the triangle is obtuse.

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Q: What is The incenter of a triangle falls outside of its triangle?
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