The vertices of a \( \triangle A B C \) are \( A(7,8), B(4,2) \) and \( C(8,2) \). The mid-point...

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The vertices of a \( \triangle A B C \) are \( A(7,8), B(4,2) \) and \( C(8,2) \). The mid-point of the side \( B C \) is \( (6,2) \). Show that the median \( A D \) divides the \( \triangle A B C \) into two triangles equal in area. Also, find the area of \( \triangle A B C \) to verify your answer.

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