A sustainable construction strategy for a 45-story residential tower in Dallas, Texas might include the following key areas:

1. Efficient use of energy: The building should be designed in a way to optimize use of natural light and ventilation. Using energy-efficient appliances, and HVAC and lighting systems. To further ensure energy efficiency, solar panels and wind turbines can be installed on the roof and/or sides of the building.

2. Water conservation: Emphasize on using water-efficient appliances and fixtures like low-flow faucets, showerheads, and dual flush toilets. Also, implement a rainwater harvesting system for landscape irrigation and a greywater recycling system for non-potable uses.

3. Sustainable Building Materials: Use of locally sourced, recycled, and low-impact materials that are durable as well. Incorporate materials with low embodied energy and make use of recycled steel, glass and concrete wherever possible.

4. Waste Management: Implement a construction waste management plan that includes maximum waste diversion during the construction phase, also ensure that there is a recycling program for residents within the building.

5. Indoor Environmental Quality: Use products with low VOC (Volatile Organic Compounds) content to improve indoor air quality. Ensure adequate ventilation and temperature control systems to provide comfortable living conditions.

6. Green Spaces: Design for incorporating green spaces at every few levels and roof-top to improve air quality and provide natural spaces for birds and other fauna. This also helps in reducing the heat island effect.

7. Transport: Promote use of public transport by providing easy access and additionally, provide electric car charging stations in the parking area.

8. Certification: Aim to achieve a green building certification like LEED (Leadership in Energy and Environmental Design) to ensure the building meets high sustainability standards.

9. Building Design: Design the tower with natural disaster trends in mind, especially since Dallas is prone to tornadoes and floods.

10. Construction Management Plan: Develop a sustainable construction management plan that minimizes environmental impacts during the construction phase, such as noise, dust, and vibration

These strategies will ensure a sustainable, energy-efficient, and environmentally friendly tower that will promote a healthy and comfortable lifestyle for its residents. Furthermore, it will also minimize the environmental impact and save on operational costs in the long run.