To find the height of Rainee's triangle, you can use the formula for the area of a triangle:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
Given:
- Area = 43.75 square inches
- Base = 7 inches
We can plug these values into the formula and solve for the height.
\[ 43.75 = \frac{1}{2} \times 7 \times \text{height} \]
First, multiply both sides by 2 to eliminate the fraction:
\[ 2 \times 43.75 = 7 \times \text{height} \]
\[ 87.5 = 7 \times \text{height} \]
Now, divide both sides by 7 to solve for the height:
\[ \text{height} = \frac{87.5}{7} \]
Now, calculate the height:
\[ \text{height} = 12.5 \]
Thus, the height of Rainee's triangle is:
\[ \text{Height of the triangle} = 12.5 \text{ inches} \]