Step 1: Use the formula for the area of a triangle
The area \( A \) of a triangle is given by:
\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]
Step 2: Substitute the given values
Given:
- Base = \( 12 \, \text{cm} \),
- Height = \( 8 \, \text{cm} \).
Substitute these values into the formula:
\[
A = \frac{1}{2} \times 12 \times 8 = \frac{1}{2} \times 96 = 48 \, \text{cm}^2
\]
Answer: Therefore, the area of the triangle is \( 48 \, \text{cm}^2 \). So, the correct answer is option (1).