To find the area of a triangle, you can 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 these values into the formula:
[tex]\[ \text{Area} = \frac{1}{2} \times 7 \times 12 \][/tex]
When you multiply the base and height together:
[tex]\[ 7 \times 12 = 84 \][/tex]
Then, take half of this product:
[tex]\[ \frac{1}{2} \times 84 = 42 \][/tex]
So, the area of the triangle is:
42 square inches.
Therefore, the correct answer is:
42 in. [tex]$^2$[/tex]