Find the area of all triangles from an output of Delaunay Triangulation
Why not to use following matrix form, while given vertices pairs $(x_i, y_i) $:

$A = \dfrac{1}{6} \det \begin{bmatrix} x_1 &amp; y_1 &amp; 1 \\ x_2 &amp; y_2 &amp; 1\\x_3 &amp; y_3 &amp; 1 \end{bmatrix}  = \dfrac{1}{2}( x_3y_1 + x_1y_2+x_2y_3-x_3y_2-x_1y_3-x_2y_1)$