What is the formula used to calculate the area of a triangle?

A = base × height

A = base + height

A = 1/2 × base × height

The area of a triangle is calculated using the formula A = 1/2 × base × height. This formula is derived from the concept that a triangle can be thought of as half of a rectangle. To understand this better, consider a rectangle where the area is given by A = base × height. Since a triangle shares the same base and height as a rectangle but occupies only half the space, we multiply the product of the base and height by 1/2.

Ultimately, this means that to find the area, one must identify the length of the base of the triangle and the height (the perpendicular distance from the base to the opposite vertex) and then apply this formula. This method ensures that the area is accurately calculated given the triangle's dimensions.

A = base × height / 2

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