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bezimeni [28]
3 years ago
7

QRST is a square. PQ= square root 2 RU= 4 What is the length os SU? Round to the nearest tenth​

Mathematics
1 answer:
ahrayia [7]3 years ago
7 0

Answer:

3.5 units

Step-by-step explanation:

Because ΔPQT is 45-45-90, QT = PQ√2. Therefore, <em>QT is 2</em>.

<em>RS is also 2</em> because all sides of a square are congruent.

Knowing this, we can use the pythagorean theorem to find SU.

<em>RS² + SU² = RU² -> 2² + SU² = 4² -> 4 + SU² = 16 -> SU² = 12</em>

So, SU = √12 ≈ 3.5 units

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