To find the lengths of the sides of an oblique triangle using the three altitudes, additional information such as angles or specific lengths of the altitudes is necessary. The relationship between the altitudes and the sides can be explored through geometric principles, but without more data, the problem remains unsolvable. The discussion emphasizes the need for supplementary details to apply relevant formulas effectively. Understanding the properties of triangles and their altitudes is crucial for deriving the side lengths. Ultimately, the solution hinges on having more specific information about the triangle's dimensions or angles.