Calculate the Median Length AD in an Isosceles Triangle with Area 60 cm²

To calculate the length of the median AD, follow these steps:

• Step 1: Calculate the length of the base BC. Since AD is the median, and BD = DC = 5 cm, the total length is $BC = 5 + 5 = 10 \, \text{cm}$.
• Step 2: Use the area formula for triangle ABC, where $S = \frac{1}{2} \times BC \times AD$. Given $S = 60 \, \text{cm}^2$, substitute the known values: $60 = \frac{1}{2} \times 10 \times AD$.
• Step 3: Solve for $AD$ by simplifying: $60 = 5 \times AD$ implies $AD = \frac{60}{5} = 12 \, \text{cm}$.

Therefore, the length of the median AD is $12 \, \text{cm}$.