Final answer:
To find the base of the triangle with a given area, you need to use the formula for the area of a triangle and rearrange it to solve for the base. Without the height, we can only provide a formula that includes the known area, requiring the height to calculate the base.
Step-by-step explanation:
The student is asking for help with finding the length of the base of a triangle given its area. We have the area of the triangle, which is \(\frac{3}{40}\) square centimeters, and we need to use the formula for the area of a triangle: \(\frac{1}{2} \times base \times height\). To find the base, we can rearrange the formula:
Base = \(\frac{2 \times area}{height}\).
However, the height is not provided in the student's question. We will need that information to give a specific answer. Without the height, the best we can do is provide the equation with the known area substituted:
Base = \(\frac{2 \times \frac{3}{40}}{height}\) = \(\frac{3}{20 \times height}\).
This formula will give the length of the base in centimeters when the height in centimeters is known.