What is the formula to calculate the area of a triangle?

To calculate the area of a triangle, the correct formula is based on the relationship between the triangle's base and its height. The area of a triangle is found by taking the base length and multiplying it by the height, which is the perpendicular distance from the base to the opposite vertex. This product represents the area of a rectangle that would be formed if both the base and height were used as dimensions. However, since a triangle is essentially half of that rectangle, the area is also divided by 2.

Therefore, the formula is expressed mathematically as: Area = (Base × Height) / 2. This calculation shows how the two dimensions relate to achieve the triangle's area accurately. It reflects the geometric property that a triangle encompasses only half the area of a rectangle with the same base and height.

Choosing this formula ensures the correct representation of a triangle's area, as areas must consider the shape's geometry. Thus, using base times height divided by 2 gives the precise measure of a triangle's area.