Calculate Deltoid Diagonal BD: Given Area 44 cm² and AC = 11 cm

To solve this problem, we'll use the formula for the area of a deltoid:

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

Let's work through the steps:

Step 1: Write down the formula for the area of the deltoid. The area $S$ is given as:

$44 = \frac{1}{2} \times 11 \times BD$

Step 2: Rearrange this equation to solve for the unknown diagonal $BD$:

$44 \times 2 = 11 \times BD$

$88 = 11 \times BD$

Step 3: Divide both sides by 11 to find the length of $BD$:

$BD = \frac{88}{11} = 8$ cm

Therefore, the solution to the problem is $BD = 8$ cm.