During Vedic rituals, builders constructed fire altars (vedis) using strict geometric principles. A master craftsperson needs to construct a square altar whose area is equal to the sum of the areas of two smaller square altars with sides \(a = 32 \ \text{units}\) and \(b = 60 \ \text{units}\).
Answer the below questions based on the above information.
1. The area of the new combined square altar is ___ \(square units\).
2. The side length of the new square altar is ___ \(square units\).
3. The length of the diagonal of the newly constructed square altar is ___ \(units\).
4. For a right triangle, which of the following is true?