What is the formula for the area of a triangle?

The formula for the area of a triangle is derived from the base and height of the triangle. It states that the area (A) is equal to one-half of the product of the base (b) and the height (h). This is due to the fact that a triangle can be viewed as half of a rectangle with the same base and height.

Using the formula A = 1/2bh, you can visualize a triangle being formed by dividing a rectangle in half. The base represents one side of the triangle, while the height is the perpendicular distance from that base to the opposite vertex. Consequently, this formula accurately calculates the area of any triangle by accounting for its unique geometry.

The other formulas do not correctly represent the area of a triangle. A=bh would give you the area of a rectangle rather than a triangle. A=2bh implies double the area of a triangle, which does not apply.