Final answer:
Using the area formula for a right triangle and the given dimensions, the base of the triangle is calculated to be 6 cm, corresponding to option D.
Step-by-step explanation:
The area of a right triangle can be calculated using the formula: Area = ½ × base × height.
In this case, we know the area (24 square cm) and the height (8 cm).
Plugging these values into the formula:
24 cm² = ½ × base × 8 cm
To find the base, we rearrange the formula:
base = (2 × 24 cm²) / 8 cm
Calculating this gives us:
base = 48 cm² / 8 cm
base = 6 cm
Therefore, the base of the triangle is 6 cm, which corresponds to option D.