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

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, you first multiply the base and the height:

[

10 \times 5 = 50

]

Now, take half of that result:

[

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

]

Therefore, the area of the triangle is 25 square units. This confirms that the correct answer is indeed 25 square units.

The other options represent different calculations that do not correctly apply the triangle area formula with the given dimensions. This illustrates the importance of using the correct formula and understanding the relationship between base and height in geometric calculations.