Answer the given question with proper steps.
Q. Prove that the area of a triangle with vertices (t, t - 2), (t + 2, t + 2) and (t + 3, t) is independent of t.

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area of triangle= 1/2( x1(y2-y3)+x2(y3-y1)+x3(y1-y2)
                        =1/2( t(t+2-t)+ t+2(t-(t-2)+t+3(t-2-(t+2)                           
                        =1/2( 2t + 2t +4 + (-4t) -12)
                        = 1/2 (4t-4t -8)
                        =-4

The area of the triangle is -4 which is independent of t
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