The area \( A \) of a triangle can be calculated using the formula:
\[ A = \frac{1}{2} \times \text{base} \times \text{height} \]
In this case, the base is 7 inches and the height is 6 inches. Plugging these values into the formula:
\[ A = \frac{1}{2} \times 7 \times 6 \]
Calculating it step by step:
\[ A = \frac{1}{2} \times 42 \]
\[ A = 21 \]
Thus, the area of the triangle is \( 21 \) square inches.