If D `(-(1)/(2),(5)/(2))`, E (7,3) and F `((7)/(2),(7)/(2))` are the mid - points of sides of `triangle ABC`, then find the area of the `triangleABC`.

Explanation

To find the area of triangle ABC given the midpoints D, E, and F, we can follow these steps:

### Step 1: Identify the coordinates of the midpoints
- D = \((- \frac{1}{2}, \frac{5}{2})\)
- E = \((7, 3)\)
- F = \((\frac{7}{2}, \frac{7}{2})\)

### Step 2: Use the midpoint formula to establish equations for the vertices A, B, and C
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