What is the formula for the area of a triangle?

• A. base × height
• B. 1/2 × base × height
• C. base + height
• D. base / height

Answer: (B)

The formula for calculating the area of a triangle is derived from the concept of base and height. To find the area, you take the base of the triangle and multiply it by the height, which is the perpendicular distance from the base to the opposite vertex. However, since a triangle is essentially half of a rectangle or parallelogram that shares the same base and height, we include a factor of one-half in the formula.

Thus, the correct formula for the area of a triangle is one-half multiplied by the base and the height. This captures the triangular shape's unique properties in relation to a rectangle. The other options do not represent the area accurately, either omitting the necessary factor of one-half, combining dimensions incorrectly, or presenting irrelevant operations like addition or division that do not relate to the area of geometric shapes.