21. Exemplar Example Problem VI

The mid-points \(D\), \(E\), \(F\) of the sides of a triangle \(ABC\) are \((3,4)\), \((8,9)\) and \( (6  , 7 )\) . Find the coordinates of the vertices of the triangle.

 

 

The coordinates of \(A\) is \((\), \()\)

 

The coordinates of \(B\) is \((\), \()\)

 

The coordinates of \(C\) is \((\), \()\)