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

The formula for determining the area of a triangle is based on the geometric relationship between the base and the height of the triangle. Specifically, the area is calculated by taking half of the product of the base length and the height. This is represented as (1/2) x Base x Height.

This formula arises from the fact that a triangle can be thought of as half of a rectangle. If you imagine calculating the area of a rectangle, you would multiply the length and width. Since a triangle is formed by cutting a rectangle in half diagonally, its area is thus half that of the rectangle, leading to the formula for the area of a triangle.

In contrast, other options relate to different geometric figures or calculations: Length x Width pertains to the area of a rectangle, π x r² gives the area of a circle, and Base + Height would simply yield a linear measurement rather than an area. Therefore, the choice representing the area of a triangle is definitively (1/2) x Base x Height.