Question

Find the areas of the triangles the whose coordinates of the points are respectively.

(0, 4), (3, 6) and ( - 8, - 2)

Answer 1

Area of triangle having angular points
$(x_1,y_1)$ $(x_2,y_2)$ $(x_3,y_3)$ is given by the formula
$△=\frac{1}{2}\left|x_1\right(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2\left)\right|$
Area of the triangle whose angular points are (0, 4), (3, 6) and ( - 8, - 2) ia
$△=\frac{1}{2}|0\times (6-(-2))+3\times (-2-4)+(-8\left)\right(4-6\left)\right|$

$\Rightarrow △=\frac{1}{2}|-18+16|$
$\Rightarrow △=1$