Find xxx. Use the 45-45-90 triangle rule. In a 45-45-90 triangle, the two legs are congruent, and the hypotenuse is 2\sqrt{2}2 times the length of each leg. In this case, the length of the leg is 6\sqrt{6}6, and the hypotenuse is xxx. So, x=6×2=12=23x = \sqrt{6} \times \sqrt{2} = \sqrt{12} = 2\sqrt{3}x=6×2=12=23. x=23\boxed{x = 2\sqrt{3}}x=23
x=23\boxed{x = 2\sqrt{3}}x=23
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