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# PS: Cube

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Manager
Joined: 23 Nov 2008
Posts: 79

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27 Nov 2008, 01:42
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ABCD and EFGH are two parallel sides of a cube. What is the measure of angle BEG?

A.30 degrees
B.45 degrees
C.60 degrees
D.75 degrees
E.90 degrees
Manager
Joined: 08 Aug 2008
Posts: 229

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27 Nov 2008, 01:50
ABCD/EFGH shud be 2 faces rather...
nyways, the answer should be E-90 degrees.
BE,EG and BG form a right triangle.
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Manager
Joined: 23 Nov 2008
Posts: 79

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27 Nov 2008, 02:25
I jumped to a 90 degrees answer as well - which is why I thought this would be an interesting question to post here. We need to look at the sides of the triangle BEG..
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Manager
Joined: 08 Aug 2008
Posts: 229

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27 Nov 2008, 02:35
Thanx for pointing that out...
the answer is 60 degrees then as its equilateral triangle...
as all sides are equal with length a$$sqrt(2)$$ if a is a side of the cube.
Current Student
Joined: 28 Dec 2004
Posts: 3342
Location: New York City
Schools: Wharton'11 HBS'12

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27 Nov 2008, 10:16
i get an equilatreal triangle each leg is sqrt(2)(x) where x is the side of the cube..

60 degree it is
Re: PS: Cube   [#permalink] 27 Nov 2008, 10:16
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