If a vertex of a triangle is `(1,1)` , and the middle points of two sides passing through it are `-2,3)` and `(5,2),` then find the centroid of the triangle.

Explanation

To find the centroid of the triangle with one vertex at \( A(1, 1) \) and midpoints of two sides at \( D(-2, 3) \) and \( E(5, 2) \), we will follow these steps:

### Step 1: Identify the vertices of the triangle
Let the vertices of the triangle be:
- \( A(1, 1) \)
- \( B(\alpha, \beta) \)
- \( C(\gamma, \delta) \)

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