The area \( A \) of a triangle can be calculated using the formula:
\[ A = \frac{1}{2} \times \text{base} \times \text{height} \]
For your triangle, the base is 4 inches and the height is 6 inches. Plugging in these values:
\[ A = \frac{1}{2} \times 4 , \text{in} \times 6 , \text{in} \]
\[ A = \frac{1}{2} \times 24 , \text{in}^2 \]
\[ A = 12 , \text{in}^2 \]
So the area of the triangle is 12 inĀ².