If vertex A of triangle ABC is `(3,5)` and centroid is `(-1,2)`, then find the midpoint of side BC.

Explanation

To solve the problem step-by-step, we need to find the midpoint \( D \) of side \( BC \) given vertex \( A \) of triangle \( ABC \) at coordinates \( (3, 5) \) and the centroid \( G \) at coordinates \( (-1, 2) \).

### Step 1: Understand the relationship between the centroid and the vertices of the triangle
The centroid \( G \) of a triangle with vertices \( A(x_1, y_1) \), \( B(x_2, y_2) \), and \( C(x_3, y_3) \) is given by the formula:
\[ G = \left( \frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3} \right) \]
In our case, we know \( A(3, 5) \) and \( G(-1, 2) \).
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