Respuesta :

Answer:

22.045

a^2+b^2=c^2

So you square the length of the side of the square, you then get 486 and take the square root and you get 22.045

9514 1404 393

Answer:

  9√6 units

Step-by-step explanation:

You know that the diagonal of a square is √2 times the length of one side, so the diagonal of your square is ...

  diagonal = (√2)·side

  diagonal = √2·9√3 = 9√(2·3)

  diagonal = 9√6

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In case you hadn't committed that relationship to memory, you could figure it out from the Pythagorean theorem:

  d² = s² + s²

  d² = 2s² . . . combine terms

  d = s√2 . . . take the square root