Which expression represents the area of a triangle?

The expression that represents the area of a triangle is based on the fundamental formula for calculating areas of geometric shapes. In the case of a triangle, the area can be determined using the base (b) and the height (h) of the triangle. The correct formula is derived from the concept that a triangle can be seen as half of a rectangle; therefore, the area is one-half the product of the base and the height.

The specific formula for the area of a triangle is thus expressed as 1/2 times the base times the height. This is mathematically represented by the expression 1/2 bh.

The alternative expressions do not accurately capture the specific relationship required for a triangle's area. For instance, the expression bw suggests that width is multiplied by something else, likely not recognizing that area depends specifically on base and height, emphasizing the need to halve the result. The expression bwh represents the volume of a rectangular prism, while Bh/2 redundantly includes a variable in a way that complicates the straightforward calculation of a triangle's area.

Understanding the area of a triangle as 1/2 bh allows for accurate calculations in geometry, whether for educational purposes or real-world applications.