What formula represents the area of a triangle?

The area of a triangle is calculated using the formula that involves the base and the height of the triangle. The correct formula states that the area is equal to 0.5 times the base multiplied by the height. This relationship is derived from the concept that a triangle can be thought of as half of a rectangle that has the same base and height.

When determining the area, the base represents one side of the triangle, while the height is the vertical distance from that base to the opposite vertex. By multiplying the base by the height, you find the area of the rectangle that encloses the triangle. Since a triangle occupies exactly half of that rectangular area, the formula incorporates the factor of 0.5.

Using this formula allows for a straightforward calculation of the area, making it essential for various applications in geometry and real-world scenarios, such as land measurement and design.