How do you calculate the area of a triangle?

How do you calculate the area of a triangle?

• A. A = b × h
• B. A = 1/2 b × h
• C. A = bh
• D. A = 2 × b × h

Answer: (B)

To calculate the area of a triangle, the formula involves taking half the product of the base and the height. Specifically, the area is computed as A = 1/2 × b × h, where "b" represents the length of the base of the triangle and "h" represents the height, which is the perpendicular distance from the base to the opposite vertex. This formula works because any triangle can be conceptualized as being half of a rectangle. When you multiply the base by the height, you obtain the area of the rectangle that would enclose the triangle. By dividing this result by two, you arrive at the area of the triangle itself. Other options do not accurately represent the method of determining the area of a triangle. For instance, using A = b × h or A = bh implies that the area calculated would result in a full rectangle rather than just the triangular portion, while A = 2 × b × h suggests multiplying by two rather than dividing, which again does not correctly reflect the relationship between the dimensions and area of a triangle. Thus, B is the correct formula for calculating the area of a triangle.

To calculate the area of a triangle, the formula involves taking half the product of the base and the height. Specifically, the area is computed as A = 1/2 × b × h, where "b" represents the length of the base of the triangle and "h" represents the height, which is the perpendicular distance from the base to the opposite vertex.

This formula works because any triangle can be conceptualized as being half of a rectangle. When you multiply the base by the height, you obtain the area of the rectangle that would enclose the triangle. By dividing this result by two, you arrive at the area of the triangle itself.

Other options do not accurately represent the method of determining the area of a triangle. For instance, using A = b × h or A = bh implies that the area calculated would result in a full rectangle rather than just the triangular portion, while A = 2 × b × h suggests multiplying by two rather than dividing, which again does not correctly reflect the relationship between the dimensions and area of a triangle. Thus, B is the correct formula for calculating the area of a triangle.