Humber/Ontario Real Estate Course 4 Exam Practice

In a right-angle triangle calculation, if the total area is mentioned, which of the following could be a correct answer?

1. 80 square feet

2. 3,900 square feet

3. 1,950 square feet

4. 4,200 square feet

5. 2,800 square feet

6. 610 square feet

The correct answer is: 1,950 square feet

To determine whether a value could logically represent the area of a right-angled triangle, it’s essential to understand the relationship between the base and height of the triangle, with the area formula being: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \] This formula indicates that the area must be a fraction of the product of two dimensions (base and height), ultimately making the area dependent on both the length of the base and the height. The correct choice of 1,950 square feet could be deemed appropriate based on this principle because it represents a realistic area that can result from plausible base and height values that are both reasonable integers or decimal figures. In contrast, other options would start to become less plausible based on what typically is found in practical scenarios of right-angled triangle dimensions. For instance, 3,900 square feet, 4,200 square feet, and 2,800 square feet could signify larger dimensions that may not align with standard triangle dimensions or might suggest impractically large base-height combinations in most real estate applications. Thus, 1,950 square feet stands out as a valid area that comfortably fits within the range of