SOLUTION: The diagonal of a square is 56 centimeters long. Find the perimeter of the square to the nearest tenth.

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Question 735266: The diagonal of a square is 56 centimeters long. Find the perimeter of the square to the nearest tenth.
Answer by lwsshak3(11628) About Me  (Show Source):
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The diagonal of a square is 56 centimeters long. Find the perimeter of the square to the nearest tenth.
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let x=side of the square
The diagonal and two of the sides form a right triangle
By the pythagorean theorem, 56=sqrt%28x%5E2%2Bx%5E2%29=sqrt%282x%5E2%29=%28x%29sqrt%282%29
x=56%2Fsqrt%282%29=39.6
perimeter of the square=4x=158.4 cm