Write the expression for the area of a triangle with base b and height h.

The area of a triangle can be determined using the formula that relates the base and height of the triangle. The correct approach involves recognizing that a triangle is essentially half of a parallelogram. Therefore, the formula for the area of a triangle is derived from taking half of the product of its base and height.

Specifically, the formula states that the area is equal to one-half of the base multiplied by the height. This is mathematically represented as:

Area = (1/2) × b × h.

This formulation accounts for the fact that a triangle will always have a smaller area compared to a rectangle or parallelogram that shares the same base and height. By using this approach, you can easily compute the area for any triangle as long as the measurements of the base and height are known.

Other alternatives do not accurately describe the relationship found in a triangle’s area. For instance, simply multiplying the base by the height does not consider the triangular nature of the shape and leads to an overestimation of the area. Adding the base and height does not apply to area calculation and yield values unrelated to the geometry of the triangle. Finally, multiplying the sum of the base and height by 2 also does not align with the defined area