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 given as 10 units and the height is given as 5 units. Substituting these values into the formula gives:

[

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

Therefore, the area of the triangle is 25 square units. This correctly corresponds to the choice provided.

The other choices would not equate through the area formula applied to the given dimensions. For example, lower values, like 20 or 15, would result from incorrect calculations such as using the base or height differently or not applying the area formula accurately.