Two vertices of a triangle are `(3,-5)a n d(-7,4)dot` If its centroid is `(2,-1),` find the third vertiex.

Explanation

To find the third vertex of the triangle given two vertices and the centroid, we can use the formula for the centroid of a triangle. The centroid (G) of a triangle with vertices \( (x_1, y_1), (x_2, y_2), (x_3, y_3) \) is given by:

\[ G = \left( \frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3} \right) \]

### Step-by-Step Solution:

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