Calculate the Area of Deltoid ABCD with Height 5 and Base 18

We are tasked with finding the area of the deltoid (or kite) ABCD using the lengths of its diagonals. The given diagonals are $AC = 5$ cm and $BD = 18$ cm. The diagonals of a kite are perpendicular to each other.

To find the area of the kite, we use the formula:

$\text{Area} = \frac{1}{2} \times d_1 \times d_2$

Substituting the given values ($d_1 = 5$ cm and $d_2 = 18$ cm) into the formula, we get:

$\text{Area} = \frac{1}{2} \times 5 \times 18 = \frac{1}{2} \times 90 = 45 \text{ cm}^2$

Hence, the area of the deltoid ABCD is $45$ cm².