To find the height of the triangular sandwich, we can use the formula for the area of a triangle:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
Given:
- Area = 7 square inches
- Base = 4 inches
We can plug these values into the formula and solve for the height.
\[ 7 = \frac{1}{2} \times 4 \times \text{height} \]
Simplifying the equation:
\[ 7 = 2 \times \text{height} \] \[ \text{height} = \frac{7}{2} = 3.5 \text{ inches} \]
Therefore, the height of the sandwich is 3.5 inches.