What is the formula for finding the area of a triangle?

• A. Area = base x height
• B. Area = 2 x base x height
• C. Area = 1/2 x base x height
• D. Area = base + height

Answer: (C)

The formula for finding the area of a triangle is derived from the concept of multiplying the base of the triangle by its height and then taking half of that product. This is because a triangle can be thought of as half of a rectangle. The formula is expressed as Area = 1/2 x base x height.

In this formula, 'base' refers to the length of the triangle's base, and 'height' is the perpendicular distance from the base to the opposite vertex. The factor of one-half is crucial, as it accounts for the fact that a triangle occupies exactly half the area of a rectangle that has the same base and height.

Understanding this relationship helps to solidify why the selected formula accurately represents the area of a triangle in geometric terms.