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

Explanation

Formula: Area = 1⁄2 | x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) | For the points (0, 2), (2, 3), and (3, 1): (x1, y1) = (0, 2) (x2, y2) = (2, 3) (x3, y3) = (3, 1) Substitute the values into the formula: Area = 1⁄2 | 0(3 - 1) + 2(1 - 2) + 3(2 - 3) | Area = 1⁄2 | 0 + 2(-1) + 3(-1) | Area = 1⁄2 | 0 - 2 - 3 | Area = 1⁄2 | -5 | Area = 1⁄2 × 5 Area = 2.5 square units Answer: The area of the triangle is 2.5 square units.