What is the area of the triangle formed by the vertices (0, 0), (6, 0), and (4, 5) in the Cartesian plane?

Answer: B. 15 sq. units

Answer: (B) 15 sq. units
Explanation:
1. Plotting the coordinates shows that the base of the triangle lies along the x-axis from (0,0) to (6,0). The length of the base = 6 units.
2. The third vertex is (4, 5), which means the perpendicular height = 5 units from the x-axis.
3. Using the basic area formula:
\(\text{Area}=\frac{1}{2}\times \text{base}\times \text{height}=\frac{1}{2}\times 6\times 5=\mathbf{15}\text{\ sq.\ units}\)

Answering after opening this box earns no Practice Points.