What is the formula for the area of a triangle?

The formula for the area of a triangle is correctly given by multiplying the base by the height and then taking half of that product. This is because the area of any triangle is essentially a measure of how much space it occupies, which is calculated as 0.5 times the base times the height.

The reasoning behind this formula stems from the fact that a triangle can be thought of as half of a rectangle (or parallelogram). By using the dimensions of the base and the height, you ensure that you are capturing the full extent of the triangle's space in a simple and effective manner.

Thus, the area is calculated by the formula Area = 0.5 × base × height. This distinction is crucial in understanding various geometric calculations and can be applied to problems involving triangles in various contexts.