Hi,         

Let x represent the length of each of the sides in this isosceles right triangle

Applying the Pythagorean Theorem

  x^2 + x^2 = 12in^2

Solving for x

    2x^2 = 144

     x^2 = 72

      x = ± sqrt(72)  Tossing out negative solution

      x = 8.49in, the length of each side (rounded to the nearest hundredth)

  

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