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Each side of a certain parallelogram has a length of 6. If

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Manager
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Each side of a certain parallelogram has a length of 6. If [#permalink] New post 22 Aug 2006, 01:28
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Each side of a certain parallelogram has a length of 6. If the area of the parallelogram is 18, which of the following is the measure of one of its angle?

(A) 30'

(B) 45'

(C) 60'

(D) 90'

(E) 120'
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Director
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 [#permalink] New post 22 Aug 2006, 02:53
6*3 =18 so the height of the parralelogram is 3 . Side is 6. Cathet against angle of 30 degrees is half the hypothenuse. SO A)
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 [#permalink] New post 09 Jul 2007, 04:06
Could anybody please eleborate further on this problem?
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 [#permalink] New post 24 Jul 2007, 19:35
area = 6 * h
18 = 6 * h
h = 3

6^2 = 3^2 + x^2
x = 3√3

ratio of sides = 3 : 3√3 : 6 THIS IS 30 : 60 : 90 triangle
So answer should be 30. A.
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 [#permalink] New post 24 Jul 2007, 20:39
A of parallelogram = h*b
h*b=18
h= 18/6 = 3

sin x = 3/6 = 1/2
x=30
  [#permalink] 24 Jul 2007, 20:39
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Each side of a certain parallelogram has a length of 6. If

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