National Occupational Competency Testing Institute (NOCTI) Carpentry Practice Exam

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How does one determine the area of a triangle?

Base multiplied by height divided by two
Base plus height
Perimeter multiplied by two
Base squared

The correct answer is: Base multiplied by height divided by two

To determine the area of a triangle, the method involves using the formula that takes into account the base and the height of the triangle. The correct calculation is achieved by multiplying the length of the base by the height and then dividing that product by two. This formula derives from the concept that the area of a triangle is essentially half the area of a rectangle that could be formed using the same base and height. Using the other options would not yield the correct area of a triangle. For example, simply adding the base and height does not measure area, and multiplying the perimeter by two also does not relate to the area of a triangle. Similarly, squaring the base would not provide any relevant information regarding the area calculation, as the area requires consideration of both the base and the height in relation to their dimensions. Therefore, the formula involving the base and height divided by two is both the most accurate and the most widely accepted method for calculating the area of a triangle.