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Answer :

Step-by-step explanation:

the height from the 90° angle (which is y here) in a right-angled triangle is the square root of the Sergent lengths of the Hypotenuse.

y = sqrt(3×9) = 3×sqrt(3)

and x we get via Pythagoras :

x² = y² + 9² = 27 + 81 = 108

x = sqrt(108) = sqrt(36×3) = 6×sqrt(3)

so, A is correct.