SOLUTION: One side of a rectangle is 6 feet long and the diagonal is 14 feet long. Find the length of the other side of the rectangle.
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Question 647385: One side of a rectangle is 6 feet long and the diagonal is 14 feet long. Find the length of the other side of the rectangle.
Answer by Sarpi(32) (Show Source): You can put this solution on YOUR website!
A diagonal line divides the rectangle in two shape of "right-angle triangle"
So the diagonal = 'hypotenuse' of the right-angle triangle = 14ft
and the width = the 'opposite' of the right-angle triangle = 6ft (that is taking into account down part of the rectangle after dividing it)
Now, the question becomes a problem of trigonometry - 'square of hypotenuse' is equal to 'sum square of both the opposite and the adjacent';
=> H = 14ft, O = 6ft and we look for A
=>
Then by taking square root of both sides: will become 'A' and 160 will be
=>
Hence, A = 12.649, so approximately the length of the other side is 12.6ft
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