What formula is used to find the area of a triangle?

The formula used to find the area of a triangle is indeed derived from the dimensions of the triangle itself—its base and height. To calculate the area of a triangle accurately, you take the measure of the base and multiply it by the height, which is the perpendicular distance from the base to the opposite vertex. However, since a triangle is essentially half of a rectangle when divided along its height, this result must then be divided by two. Therefore, the correct expression for the area of a triangle becomes one-half times the base times the height.

This formulation captures the geometric relationship of a triangle's area in relation to its base and height, making it essential for a fundamental understanding of triangle geometry in various applications.