Final answer:
The missing length can be found using the Pythagorean theorem. It is approximately 8.60 units.
Step-by-step explanation:
The missing length can be found by applying the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, a = 7 and b = 5. So, substituting these values into the theorem, we get:
c² = 7² + 5²
c² = 49 + 25
c² = 74
Therefore, the missing length is √74. Simplifying the square root, we get:
c ≈ 8.60
So, the answer is not listed in the given options. The missing length is approximately 8.60 units.