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If the area of A B C formed by A(x , y)...

If the area of ` A B C` formed by `A(x , y),B(1,2)a n dC(2,1)` is 6 squae units, then prove that `x+y=15`

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Given: `A(x,y)≡(x_1,y_1),B(1,2)≡(x_2,y_2) and C(2,1)≡(x_3,y_3)`
We know than area of triangle `=1/2[x_1(y_2−y_3)+x_2((y_3−y_1))+x_3(y_1−y_2)] `
(hint: using determinant formula of the area of triangle)
Then area of triangle whoes vertex is A(x,y),B(1,2) and C(2,1) is
...
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