Calculate the area of a triangle with a base of 10 and a height of 5.

To determine the area of a triangle, we use the formula:

[

\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}

]

In this case, the base of the triangle is given as 10 units, and the height is given as 5 units. Substituting these values into the formula, we get:

[

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

]

Calculating this step-by-step:

1. Multiply the base and the height:

[

10 \times 5 = 50

]

2. Multiply the result by (\frac{1}{2}):

[

\frac{1}{2} \times 50 = 25

]

Thus, the area of the triangle is 25 square units. This confirms that the correct answer is indeed 25, as it follows directly from applying the formula for the area of a triangle.