# Area of a triangle given its vertices

## Name

Area of a triangle given its vertices
Graph Formulas
$\text{Area of }\Delta ABC\,$

$= \frac{-y_{2}x_{3}+y_{1}x_{3}-y_{3}x_{1}+y_{2}x_{1}-y_{1}x_{2}+y_{3}x_{2}}{2}$

$\text{In form of determinant: }\,$

$\text{Area of }\Delta ABC=\begin{vmatrix} x_{1}& y_{1}& 1 \\ x_{2}& y_{2}& 1 \\ x_{3}& y_{3}& 1 \end{vmatrix}$

## Usage

• Write here usage for the table