Final answer:
To find the side lengths of the triangle, assign variables to the shorter leg, longer leg, and hypotenuse. Use the Pythagorean theorem to solve for the side lengths.
Step-by-step explanation:
To find the side lengths of the triangle, we can assign variables to the shorter leg, longer leg, and hypotenuse. Let's say the shorter leg is represented by x, the longer leg is x + 6, and the hypotenuse is x + 6 + 6, which simplifies to x + 12. According to the Pythagorean theorem, a² + b² = c², we can substitute the lengths: x² + (x + 6)² = (x + 12)². Expanding and solving this equation will give us the values of x, x + 6, and x + 12, which are the side lengths of the triangle.