Which expression represents the area of a triangle using base B and height H?

• A. A = B × H
• B. A = (B × H) ÷ 2
• C. V = L × W × H
• D. A = B ÷ H

Answer: (B)

The area of a triangle with base B and height H is half of the product of base and height. This comes from comparing to a rectangle that has the same base and height: the rectangle’s area is B × H, and two identical triangles fill that rectangle, so each triangle has area (B × H) ÷ 2. In other words, a triangle has exactly half the area of the corresponding rectangle.

This also matches dimensional intuition: base times height gives an area unit, and halving that product yields the triangle’s area. The other expressions don’t fit: B × H would give the rectangle’s area, not a triangle’s; V = L × W × H is volume; and B ÷ H isn’t a meaningful area formula.

So the appropriate expression is (B × H) ÷ 2.