What is the area of a triangle formula?

The area of a triangle is calculated using the formula that involves multiplying the base by the height and then taking half of that product. This method is derived from the concept that a triangle can be viewed as half of a rectangle. The rectangle's area is found by multiplying its base by its height. Since a triangle occupies half the area of that rectangle, the formula for the area of a triangle is expressed as 1/2 times the base times the height.

This formula is essential in geometry when calculating spaces within triangular shapes for various applications, such as architecture, engineering, and land measurement. Using the other options would result in incorrect calculations, as they would either provide an area that is too large or an inappropriate operation for finding the area of a triangle.