Find the area of triangle whose vertices are (2,7), (1,1) and (10,8).

Explanation

To find the area of the triangle with vertices at points \( A(2, 7) \), \( B(1, 1) \), and \( C(10, 8) \), we can use the formula for the area of a triangle given by its vertices using determinants.

### Step-by-Step Solution:

1. **Set up the determinant for the area of the triangle:**
The area \( A \) of a triangle formed by the points \( (x_1, y_1) \), \( (x_2, y_2) \), and \( (x_3, y_3) \) can be calculated using the following determinant formula:
\[
A = \frac{1}{2} \left| \begin{vmatrix}
...