Calculate the Area of a Deltoid: Given Height 9 and Base 15

To solve this problem, we'll follow these steps:

• Identify the given information: The lengths of diagonals are 9 cm and 15 cm.
• Apply the appropriate formula for the area of a deltoid.
• Perform the necessary calculations.

Now, let's work through each step:
Step 1: We are given that diagonal $d_1 = 9$ cm and diagonal $d_2 = 15$ cm.
Step 2: We'll use the formula for the area of a deltoid: $\text{Area} = \frac{1}{2} \times d_1 \times d_2$.
Step 3: Plugging in our values, we get: $\text{Area} = \frac{1}{2} \times 9 \times 15 = \frac{1}{2} \times 135 = 67.5 \text{ cm}^2$

Therefore, the solution to the problem is $67.5$ cm².