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Prove that the coordinates of the centre...

Prove that the coordinates of the centre of the circle inscribed in the triangle, whose vertices are the points `(x_1,y_1),(x_2,y_2) and (x_3, y_3)` are ` (a x_1 + b x_2 + c x_3)/(a+b+c) and (a y_1 + b y_2 + c y_3)/(a+b+c)`

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