Question
If the sides of a square measure 9sqrt(3) units, then find the length of the diagonal.
If the sides of a square measure 9sqrt(3) units, then find the length of the diagonal.
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Koala Tutor
Koala Ai Support
The length of one side of the square is given as 9sqrt(3) units. Since all sides of a square are equal, the length of the diagonal is equal to the length of the side times the square root of 2.
So, the length of the diagonal = 9sqrt(3) * sqrt(2) = 9sqrt(6) units. Answer: \boxed{9\sqrt{6}} units.