Step 1: Use the formula for the area of a triangle
The area \( A \) of a triangle is given by the formula:
\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]
Step 2: Substitute the given values
We are given:
- Base = 8 cm,
- Height = 6 cm.
Substitute these values into the formula:
\[
A = \frac{1}{2} \times 8 \times 6 = \frac{1}{2} \times 48 = 24 \, \text{cm}^2
\]
Answer: Therefore, the area of the triangle is \( 24 \, \text{cm}^2 \). So, the correct answer is option (1).