Mathematics ACT Aspire Practice Test 2026 – Complete Study Resource

The area of a triangle is calculated using the formula that incorporates both the base and the height of the triangle. Specifically, the formula states that the area of a triangle equals one-half the product of its base and its height. This means that you take the length of the base, multiply it by the height (which is the perpendicular distance from the base to the opposite vertex), and then divide that product by two.

When you think of a triangle in relation to a rectangle, the area of a rectangle is found by multiplying the base by the height. Since a triangle can be seen as half of a rectangle when drawn between its base and height, you must divide that area in half to find the area of the triangle. Thus, the formula captures this relationship succinctly, confirming that in order to accurately compute the area of a triangle, you need to account for this division by two.

Other options may suggest variations or imply incorrect relationships that do not take into account the necessary division or might miss a crucial part of the formula related to the area measurement. Therefore, the correct formulation to find the area of a triangle is clearly conveyed in the choice that represents one-half times the base times the height.