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Answer:

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Step-by-step explanation:

In a 30-60-90 triangle, the ratio of sides is always constant. The short leg is half of the hypotenuse, and the long leg is [tex]\sqrt{3}[/tex] times the short leg. Therefore, [tex]b=\frac{2\sqrt{2}}{2}=\sqrt{2}[/tex], and [tex]a=\sqrt{2}\cdot \sqrt{3}=\sqrt{6}[/tex]. Hope this helps!