SOLUTION: If the diagonal of a square is 9 units long, how long is each side?

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Question 249789: If the diagonal of a square is 9 units long, how long is each side?
Answer by mathhub(11) About Me  (Show Source):
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The diagonal (d) of a square is given by
d = sqrt(2a*a)
where a is the side of the square.
Squaring both sides we get
d%2Ad+=+2%2Aa%2Aa
=> 9%2A9+=+2%2Aa%2Aa
=> 81+=+2%2Aa%2Aa
=> 81%2F2+=+a%2Aa
=> 40.5+=+a%2Aa
=> a+=+sqrt%2840.5%29
=> a = 6.3639
Therefore the side of the square is 6.3639 units.