Area of a triangle given its vertices
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[math]\text{Area of }\Delta ABC\,[/math] [math]= \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}[/math] [math]\text{In form of determinant: }\,[/math] [math]\text{Area of }\Delta ABC=\begin{vmatrix} x_{1}& y_{1}& 1 \\ x_{2}& y_{2}& 1 \\ x_{3}& y_{3}& 1 \end{vmatrix}[/math] |
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