Which operation is involved in finding the area of a triangle?

To find the area of a triangle, the operation of multiplying the base by the height and then halving the result is essential. This formula stems from the geometric understanding that the area of a triangle can be derived from the area of a rectangle.

When visualizing a triangle, if you were to form a rectangle with the same base and height, the area of the rectangle would be the base multiplied by the height. However, since the triangle occupies only half of that rectangle, you take that multiplication result and divide it by two. This gives you the correct area of the triangle.

For instance, if the base of the triangle is 10 units and the height is 5 units, the area is calculated as follows: Area = (Base × Height) / 2 = (10 × 5) / 2 = 25 square units. This method provides a clear and consistent way to calculate the area for any triangle, making it fundamental to geometry.