SOLUTION: 1. a diagonal of a square has length of 8. Find the length of a side.

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Question 1034802:
1. a diagonal of a square has length of 8. Find the length of a side.
Answer by fractalier(6550) About Me  (Show Source):
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The diagonal of a square is the hypotenuse of a 45-45-90 right triangle, one in which the ratio of the sides is 1:1:sqrt(2).
Thus if the hypotenuse is 8, then the side is
8/sqrt(2) = 4*sqrt(2) or about 5.656