In a triangle ABC with edge AB denoted by c, BC denoted by a and CA denoted by b, incenter I of the triangle have the following barycentric property: a IA +b IB + c IC = 0.
Note: when a = b = c then the triangle is equilateral and the incenter and centroid of the triangle are coincident.
Note: when a = b = c then the triangle is equilateral and the incenter and centroid of the triangle are coincident.
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