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Prove that the incentre of the triangle ...

Prove that the incentre of the triangle whose vertices are given by` A(x1, y1), B(x2, y2), C(x3,y3) is( ax1 + bx2 + cx3)/(a+b+c),( ay1+ by2 +cy3)/(a+b+c)` where a, b, and c are the sides opposite to the angles A, B and C respectively.

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