Final answer:
The child will need to take isoniazid medication for 9 months.
Step-by-step explanation:
The nurse should tell the mother that the child will need to take isoniazid medication for 9 months. Isoniazid is commonly used in the treatment of tuberculosis, and treatment for this disease usually lasts for 6 to 9 months. Since the child has a positive Mantoux tuberculin skin test result, it is necessary to complete the full course of treatment to ensure the infection is fully treated and prevent the development of drug-resistant strains of tuberculosis.