Area of Triangle from Determinant

Rarely Tested

Area of Triangle from Determinant

## Formula

$$\Delta=\frac12\left|\begin{vmatrix}x_1&y_1&1\\x_2&y_2&1\\x_3&y_3&1\end{vmatrix}\right|$$

## Usage

- Used for coordinate-based area calculations and collinearity problems.

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