The area (in square units) of the triangle formed by the vertices (0,2),(2,3) and (3,1) is:

Correct option is B

​Given: vertices (0, 2), (2, 3), and (3, 1).

Formula Used:

Area of triangle having vertices (x₁,y₁), (x₂,y₂) and  (x₃,y₃) is given by

​$$\text{Area} = \frac{1}{2} \left| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) \right|$$

Solution:

$$\text{Area} = \frac{1}{2} \left| 0(3 - 1) + 2(1 - 2) + 3(2 - 3) \right| \\= \frac{1}{2} \left| 0 - 2 - 3 \right| \\= \frac{1}{2} \left| -5 \right| \\= \frac{5}{2} \\= 2.5 \, \text{square units}\\\text{Hence, } 2.5 \text{ is the correct answer.}$$​​