SOLUTION: Evaluate: If the sides of a square measure 9sqrt(3) inches, then find the length of the diagonal.
(Write your answer in the square root form)
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(Write your answer in the square root form)
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Question 1091662: Evaluate: If the sides of a square measure 9sqrt(3) inches, then find the length of the diagonal.
(Write your answer in the square root form) Answer by blessedbliss(1) (Show Source):
You can put this solution on YOUR website! Let x = measure of the diagonal
By Pythagorean Theorem,
x^2 = (9sqrt(3))^ 2 + (9sqrt(3))^2
x^2 = (81*3) + (81*3)
= 243 +243
= 486
x = sqrt(486)
= sqrt(81*6)
= 9 sqrt(6) inches is the measure of the diagonal of the square
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