Question

If the area of triangle ABC formed by A(x,y),B(1,2),C(2,1) is 6 square units then find the relations between x and y with solution

Answer 1

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Answer 2

Area of Δ = 1/2 (x₁(y₂-y₃)+x₂(y₃-y₁)+x₃(y₁-y₂))

             6 = 1/2 (x(2-1)+1(1-y)+2(y-2))

           12 = (x+1-y+2y-4)

           12 = x+y-3

         x+y = 15
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