If a triangle has a base of 10 units and a height of 5 units, what is its area?

To find the area of a triangle, the formula used is:

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

]

In this scenario, 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, first multiply the base and height:

[ 10 \times 5 = 50 ]

Then, take half of that product:

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

Therefore, the area of the triangle is 25 square units. This corresponds to the correct answer, affirming that when applying the formula accurately with the given dimensions, the calculation confirms the triangle's area is indeed 25 square units.