Respuesta :

Answer:

  • x = 6√2
  • y = 6√6

Step-by-step explanation:

The triangles are all similar, so corresponding sides are proportional.

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x

  long side/short side = x/6 = 12/x

  x² = 72 . . . . . . . multiply by 6x

  x = 6√2 . . . . . . take the square root

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y

  hypotenuse/long side = y/12 = (12+6)/y

  y² = 216 . . . . . multiply by 12y

  y = 6√6 . . . . . take the square root