What is the formula for calculating the area of a triangle?

The formula for calculating the area of a triangle is A = bh/2, where "b" represents the base of the triangle and "h" represents the height. This relationship stems from the geometric understanding that the area of triangles can be derived from the area of rectangles. If you imagine a rectangle formed by the base and height of a triangle, the area of that rectangle is simply base times height. Since a triangle occupies half the area of such a rectangle, the final formula is obtained by dividing the rectangle's area by two.

In contrast, the other options reflect different formulas used to calculate areas for other shapes. For example, the formula A = πr² pertains to the area of a circle, utilizing the radius (r) of the circle. The formula "Area = 3.14 x Diameter" inaccurately describes a concept related to circles as well, specifically a linear relationship rather than an area calculation. Lastly, "Area = Length x Width" applies to the area of a rectangle, not a triangle. These distinctions underscore the specific and unique formula required for determining the area of a triangle.