The area (in sq. units) of the triangle formed by points (2, 3), (3, 4) and (4, 2) is

Area of triangle formed by points (2, 3), (3, 4) and (4, 2) = $$\frac{1}{2}\left|x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)\right|$$

$$=\frac{1}{2}\left|2\left(4-2\right)+3\left(2-3\right)+4\left(3-4\right)\right|$$

$$=\frac{1}{2}\left|2\left(2\right)+3\left(-1\right)+4\left(-1\right)\right|$$

$$=\frac{1}{2}\left|4-3-4\right|$$

$$=\frac{1}{2}\left|-3\right|$$

$$=\frac{3}{2}$$