The area \( A \) of a triangle can be calculated using the formula:
\[ A = \frac{1}{2} \times \text{base} \times \text{height} \]
For the given triangle, the base is 10 cm and the height is 6 cm. Plugging these values into the formula:
\[ A = \frac{1}{2} \times 10 , \text{cm} \times 6 , \text{cm} \]
\[ A = \frac{1}{2} \times 60 , \text{cm}^2 \]
\[ A = 30 , \text{cm}^2 \]
Therefore, the area of the triangle is \( 30 , \text{cm}^2 \).