The formula for the area of a triangle is:
\[
\text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height}
\]
Given:
- Base = 12 cm
- Height = 5 cm
Substitute the values into the formula:
\[
\text{Area} = \frac{1}{2} \times 12 \times 5 = 30 \, \text{cm}^2
\]
Thus, the area of the triangle is 30 cm\(^2\). Therefore, the correct answer is option (1).