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

The formula for calculating the area of a triangle is A = 1/2bh, where A represents the area, b is the length of the base, and h is the height perpendicular to that base. This formula is derived from the concept that a triangle can be thought of as half of a rectangle.

When calculating the area of a rectangle, the formula is A = bh (base times height). Since a triangle occupies half the area of a rectangle with the same base and height, we divide by 2, leading to the formula A = 1/2bh. This relationship illustrates how the dimensions of the triangle relate directly to its area, emphasizing the significance of both the base and height in determining how much space the triangle occupies.

Other options do not reflect the geometric properties of a triangle's area. The formula A = bh does not account for the triangular shape and results in a value that is double what the area of a triangle would actually be. The expressions A = b + h and A = 2b + 2h do not relate to area measurement at all and instead represent linear relationships, which are not applicable in this context. Thus, identifying the correct formula not only relies on understanding geometric principles but also on