To find the area of a triangle, we use the formula:
[tex]\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \][/tex]
Given:
- The height of the triangle is 12 inches.
- The base of the triangle is 7 inches.
Now, substitute the given values into the formula:
[tex]\[ \text{Area} = \frac{1}{2} \times 7 \, \text{inches} \times 12 \, \text{inches} \][/tex]
Calculate the multiplication in the equation first:
[tex]\[ \text{Area} = \frac{1}{2} \times 84 \, \text{square inches} \][/tex]
Then, divide by 2:
[tex]\[ \text{Area} = 42 \, \text{square inches} \][/tex]
Thus, the area of the triangle is:
[tex]\[ 42 \, \text{in}^2 \][/tex]
So, the correct answer is:
[tex]\[ 42 \, \text{in}^2 \][/tex]
