What is the area of a triangle with a base of 10 and a height of 5?

To find the area of a triangle, you use the formula:

[

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

]

In this case, the base of the triangle is 10 and the height is 5. Plugging these values into the formula gives:

[

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

]

Calculating this step-by-step:

1. First, multiply the base and height: (10 \times 5 = 50).

2. Then, take half of that product: (\frac{1}{2} \times 50 = 25).

Thus, the area of the triangle is 25. This aligns with the choice given, confirming that the area calculated is indeed correct and represents the accurate application of the triangle area formula.