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A triangle has its three sides equal to `a , ba n dc` . If the coordinates of its vertices are `A(x_1, y_1),B(x_2,y_2)a n dC(x_3,y_3),` show that `|(x_1,y_1,2),(x_2,y_2,2),(x_3,y_3, 2)|^2=(a+b+c)(b+c-a)(c+a-b)(a+b-c)`

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