Find area of the triangle with vertices at the point given in each of the following : (i) (1,0), (6,0), (4,3) (ii) (2,7), (1,1), (10,8)

Explanation

To find the area of the triangles with the given vertices, we will use the formula based on determinants. The area \( A \) of a triangle with vertices at points \( (x_1, y_1) \), \( (x_2, y_2) \), and \( (x_3, y_3) \) can be calculated using the following formula:

\[ A = \frac{1}{2} \left| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) \right| \]

### Part (i): Vertices (1,0), (6,0), (4,3)

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