Prove that the area of triangle whose vertices are `(t , t-2),(t+2, t+2)a n dt+3, t)` is independent of `tdot`

Explanation

Let
`A(t,t−2),B(t+2,t+2),C(t+3,t)`

be the vertices of the traingle


Area of `/_\ ABC
`

`=1/2|[t,t-2],[t+2,t+2],[t+3,t],[t,t-2]|`

`=1/2[t^2+2t−t^2+4+t^2+2t−t^2−5t−6+t^2+t−6−t^2]`

`=1/2[​|−8∣]`

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