What is the correct area formula for a triangle?

What is the correct area formula for a triangle?

• A. A = (1/2)bh
• B. A = b + h
• C. A = bh
• D. A = 2(b + h)

Answer: (A)

The area formula for a triangle is based on the relationship between the base and the height of the triangle. Specifically, the correct formula, A = (1/2)bh, tells us that the area (A) is equal to one-half of the product of the base (b) and the height (h). This relationship makes sense because a triangle can be thought of as half of a rectangle. When you calculate the area of a rectangle, you multiply the width by the height. Since a triangle occupies exactly half of that rectangle, the area is halved, which is why the formula includes the factor of 1/2. This formula is universally applicable to all triangles, regardless of their orientation or type (e.g., right, isosceles, or scalene) as long as the base and height are correctly identified with respect to the triangle's geometry. Thus, using (1/2)bh is the correct method for calculating the area of a triangle.

The area formula for a triangle is based on the relationship between the base and the height of the triangle. Specifically, the correct formula, A = (1/2)bh, tells us that the area (A) is equal to one-half of the product of the base (b) and the height (h).

This relationship makes sense because a triangle can be thought of as half of a rectangle. When you calculate the area of a rectangle, you multiply the width by the height. Since a triangle occupies exactly half of that rectangle, the area is halved, which is why the formula includes the factor of 1/2.

This formula is universally applicable to all triangles, regardless of their orientation or type (e.g., right, isosceles, or scalene) as long as the base and height are correctly identified with respect to the triangle's geometry. Thus, using (1/2)bh is the correct method for calculating the area of a triangle.