To derive the area of a triangle with a base of 10 feet and height of 5 feet, what would the calculation be?

To derive the area of a triangle, the formula used is ( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ). In this case, the base is 10 feet and the height is 5 feet.

Substituting the values into the formula, we have:

[

\text{Area} = \frac{1}{2} \times 10 \times 5

]

[

\text{Area} = \frac{1}{2} \times 50

]

[

\text{Area} = 25 \text{ square feet}

]

This calculation confirms that the area of the triangle is indeed 25 square feet. Understanding the application of the formula and the significance of the triangle's dimensions directly leads to the correct answer.

Each component of the formula plays a vital role: the base represents one side of the triangle, while the height is the perpendicular distance from that base to the opposite vertex. Multiplying these together allows us to capture the space enclosed within the triangle, and taking half of that product gives the area, as a triangle is essentially half of a parallelogram with the same