Final answer:
The missing leg of the right-angled triangle is approximately 8.94 units long.
Step-by-step explanation:
The missing leg of a right-angled triangle can be found using the Pythagorean theorem. With the given information of a hypotenuse of 9 and one leg of 1, we can solve for the missing leg:
a² + b² = c²
1² + b² = 9²
b² = 80
b = √80
b ≈ 8.94
Therefore, the missing leg is approximately 8.94 units long.