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) `
(iii) `(-2, -3), (3, 2), (-1, -8)`

Explanation

To find the area of a triangle given its vertices, we can 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 \( (x_3, y_3) \) is given by:

\[
A = \frac{1}{2} \left| \begin{vmatrix}
x_1 & y_1 & 1 \\
x_2 & y_2 & 1 \\
x_3 & y_3 & 1
\end{vmatrix} \right|
...