Question 931292: The diagonal of a square has the length of 12radical2 feet. Find the length of the sides of the square. Length of the side is ? feet.... Found 2 solutions by TimothyLamb, ABU1998:Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! diagonal for the general square:
h = sqrt( aa + aa )
h = sqrt( 2aa )
h = sqrt( 2 ) * sqrt( aa )
h = sqrt( 2 ) * a
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this square:
h = sqrt( 2 ) * 12
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equate h's:
sqrt( 2 ) * a = sqrt( 2 ) * 12
a = sqrt( 2 )/sqrt( 2 ) * 12
a = 12
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answer:
side length = 12 feet
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You can put this solution on YOUR website! the square has 4 equal sides,so we use the Pythagorean theorem:
hypotenuse=side square +side square so
h^2=s^2 +s^2=2s^2 ,substitute for the hypotenuse 12sqrt12
(12sqrt12)^2 = 2.s^2 ,this gives 144(12) = 2.s^2 ,divide by 2
144(6) = s^2 so take the square root of each side
12.sqrt(6) = s ,I hope it helps
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