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

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Manager
Joined: 05 Jul 2006
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Each side of a certain parallelogram has a length of 6. If [#permalink]

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31 Aug 2006, 17:54
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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?

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Current Student
Joined: 29 Jan 2005
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31 Aug 2006, 20:13
a (of llgram) =bh

18 = 6h

h= 3

3-5-6 triangle is always 30/60/90 (provided the base is 1/2 the hypotnuse)

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Manager
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31 Aug 2006, 20:59
GMATT73 wrote:
a (of llgram) =bh

18 = 6h

h= 3

3-5-6 triangle is always 30/60/90 (provided the base is 1/2 the hypotnuse)

Shouldn't one angle be 30 degrees ...
Sin A = 3/6 = 0.5 = sin (60)

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Senior Manager
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31 Aug 2006, 21:04
In a 30-60-90 right triangle, the side opposite the 30 degree angle is 1/2 the hypotenuse, and the side opposite the 60 degree angle is (1/2) sqrt(3) times the length of the hypotenuse

so, one of the angles will be 180-30 = 150

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Current Student
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31 Aug 2006, 21:09
gk3.14 wrote:
In a 30-60-90 right triangle, the side opposite the 30 degree angle is 1/2 the hypotenuse, and the side opposite the 60 degree angle is (1/2) sqrt(3) times the length of the hypotenuse

so, one of the angles will be 180-30 = 150

Yep, I confused the lenghts. 150 or 30 here. Would have been nice to see the answer choices upfront.

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31 Aug 2006, 21:09
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# Each side of a certain parallelogram has a length of 6. If

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