Calculate Base Length in Isosceles Triangle: Area 24 cm², Height 8 units

To solve this problem, we will calculate the length of side $FE$ using the area formula for a triangle:

• Step 1: Use the formula for the area of a triangle: $A = \frac{1}{2} \times \text{base} \times \text{height}$.

• Step 2: Substitute the given values into the formula.
  We know that $A = 24 \, \text{cm}^2$ and $\text{height} = 8 \, \text{cm}$.

• Step 3: Set up the equation: $24 = \frac{1}{2} \times \text{base} \times 8$.

• Step 4: Simplify and solve for the base:$24 = \frac{8}{2} \times \text{base} \rightarrow 24 = 4 \times \text{base}$.

• Step 5: Solve for $\text{base}$: $\text{base} = \frac{24}{4} = 6 \, \text{cm}$.

Therefore, the side $FE$ of the triangle is 6 cm.