How is the area of a triangle calculated?

• A. b x h
• B. 0.5 x b x h or (1/2) x b x h
• C. 2 x b
• D. (1/4) x b x h

Answer: (B)

The area of a triangle is calculated using the formula (0.5 \times b \times h), where (b) represents the base of the triangle and (h) represents its height. This formula derives from the geometric principle that the area of a triangle is half the area of a rectangle with the same base and height.

In this case, you multiply the base by the height to find the full area of the rectangle and then take half of that value because a triangle occupies half the area of such a rectangle. This understanding is fundamental in geometry and applies universally to any triangle, regardless of its shape or size.

The other options provided do not accurately reflect the correct calculation for the area of a triangle. For instance, just multiplying the base by the height does not account for the triangular shape, leading to an incorrect representation of the area. Similarly, coefficients like 2 or (1/4) are incorrect as they don't correspond to the relationship between a triangle and its corresponding rectangle. Thus, choice B is the only correct representation of the formula for calculating the area of a triangle.