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  • 02-03-2021
  • Mathematics
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Pythagoras Theorem

A. x=5
B. x=2square root of 1
C. x=square root of 34
D. x=2square root of 61

Pythagoras Theorem A x5 B x2square root of 1 C xsquare root of 34 D x2square root of 61 class=

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sqdancefan
sqdancefan sqdancefan
  • 03-03-2021

9514 1404 393

Answer:

  B.  x = 2√11

Step-by-step explanation:

The square of the length of the diagonal is ...

  d² = 6² + 8² = 36 +64 = 100

Then the length of x is found from ...

  d² +x² = 12²

  x² = 144 -100 = 44 . . . . . subtract d²

  x = √44 . . . . . . take the square root

  x = 2√11

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