What is meant by the in-centre of a triangle?
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The incenter may be equivalently defined as the point where the internal angle bisectors of the triangle cross, as the point equidistant from the triangle's sides, as the junction point of the medial axis and innermost point of the grassfire transform of the triangle, and as the center point of the inscribed circle ...
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The incenter is the point where all of the angle bisectors meet in the triangle.
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