Answer:
3.5 units
Step-by-step explanation:
Because ΔPQT is 45-45-90, QT = PQ√2. Therefore, QT is 2.
RS is also 2 because all sides of a square are congruent.
Knowing this, we can use the pythagorean theorem to find SU.
RS² + SU² = RU² -> 2² + SU² = 4² -> 4 + SU² = 16 -> SU² = 12
So, SU = √12 ≈ 3.5 units
