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

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

[

\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 5 units. Plugging these values into the formula:

[

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

]

Calculating this step-by-step:

1. Multiply the base by the 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 square units. This matches the first choice, confirming that the area calculation is correct. The correct interpretation of the formula and accurate substitution of the triangle's dimensions lead to this precise outcome.