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Answer:

Step-by-step explanation:

1. 10² + 7² = x²

 149 = x²

 x = √149

2. x² + 19² = 21²

 x² = 21² -  19² = 80

 x = √80 = 4√5

3. x² + 16² = 27²

 x² = 27² - 16² = 473

 x = √473

4. 5.3² + 12.8² = x²

 191.93 = x²

 x = √191.93

5. 9² + 20² = x²

 481 = x²

 x = √481

6. 31 = x + 2√(19²-17²) = x + 2·6√2 = x + 12√2

 x = 31 - 12√2