Deltoid Geometry: Finding AC Length Given Area 60 cm² and BD = 12 cm

To find the length of side $AC$ in the given deltoid:

• Step 1: Write down the area formula for a kite: $S = \frac{1}{2} \times BD \times AC$, where $S$ is the area, and $BD$ and $AC$ are the diagonals.
• Step 2: Plug in the known values: $60 = \frac{1}{2} \times 12 \times AC$.
• Step 3: Simplify the equation: $60 = 6 \times AC$.
• Step 4: Solve for $AC$:

$AC = \frac{60}{6} = 10$ cm.

Therefore, the length of side $AC$ is $10$ cm.