What formula represents the area of a triangle?

The formula that represents the area of a triangle is given by (B x H) / 2 = A, where B stands for the base of the triangle and H represents the height. This formula arises from the fundamental concept that the area of any triangle is half the product of its base and height. The base is one side of the triangle, and the height is the perpendicular distance from the base to the opposite vertex.

Calculating the area using this formula allows you to understand how changing the dimensions of the triangle (either the base or the height) directly influences the overall area. For example, if the base increases while keeping the height constant, or vice versa, the area will also increase proportionately, highlighting the relationship between these dimensions.

In contrast, other options involve incorrect calculations or interpretations of area. The option that states B x H = A reflects the area formula for a rectangle, not a triangle. The sum of the base and height in the context of area (as seen in one of the choices) does not yield a correct representation of area at all; area is a measure of surface, not a linear sum. Lastly, averaging the base and height does not give a valid measure of the area, as area relies on the