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 can use the formula:

[

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

]

In this case, the base of the triangle is 10 units and the height is 5 units. 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 by the height:

[

10 \times 5 = 50

]

2. Then, apply the factor of (\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. The other choices do not accurately reflect the calculation using the triangle area formula combined with the given dimensions, making them less valid for this scenario.