# In a 45-45-90 triangle, one of the legs is #2sqrt2#. What is the length of the hypotenuse?

4

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In a 45-45-90 triangle, the length of the hypotenuse is equal to the length of one leg multiplied by the square root of 2. Therefore, in this case, if one leg is ( 2\sqrt{2} ), then the length of the hypotenuse is ( 2\sqrt{2} \times \sqrt{2} = 2 \times 2 = 4 ). Hence, the length of the hypotenuse is ( 4 ).

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