What is the formula for the area of a triangle?

The formula for the area of a triangle is represented as A = (1/2)(B)(H), where A is the area, B is the length of the base of the triangle, and H is the height of the triangle measured from the base to the opposite vertex. This formula derives from the basic geometric principle that the area of any triangle can be calculated as half of the product of its base and height.

In contrast, the other options pertain to different geometric shapes or contexts. The formula A = bh represents the area of a rectangle, not a triangle, as it does not account for the factor of one-half that is essential for calculating a triangle's area. The expression A = 4(pi)r^2 calculates the area of a circle, which is entirely unrelated to triangular geometry. Finally, V = (1/3)(area of base)(height) refers to the volume of a pyramid or cone, which incorporates the area of the base and height but pertains to three-dimensional shapes, not the area of a two-dimensional triangle.