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

The formula for calculating the area of a triangle is based on the relationship between a triangle’s base and its height. The correct formula states that the area is equal to one-half multiplied by the base length and the height of the triangle.

This formula originates from the fact that a triangle can be viewed as half of a rectangle. If you take a rectangle with a given base and height, the area of that rectangle is simply the base multiplied by the height. Because a triangle occupies half of that rectangular space, the formula incorporates the factor of one-half, leading to the area being represented as ( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ).

The other options do not accurately describe the area of a triangle. The formula base times height without the one-half factor pertains to the area of a rectangle, and the formula for length times width serves solely for rectangular measurements. Meanwhile, the last option regarding π times the radius squared refers specifically to calculating the area of a circle, which is a different geometric shape entirely. Thus, the focus on the base-height relationship, with the necessary adjustment for a triangle's area being half of that of a rectangle, makes the