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# PS: Angle in the Cube

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PS: Angle in the Cube [#permalink]

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28 Jan 2006, 10:56
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Please refer to the picture...this is simple one!
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File comment: Cube

cube.JPG [ 11.22 KiB | Viewed 740 times ]

Senior Manager
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28 Jan 2006, 11:01
is it 90` ?
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vazlkaiye porkalam vazltuthan parkanum.... porkalam maralam porkalthan maruma

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28 Jan 2006, 11:24
go C go. 60 it is.

It is an equilateral triangle!
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"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

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28 Jan 2006, 11:29
bad day... getting all wrong (
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vazlkaiye porkalam vazltuthan parkanum.... porkalam maralam porkalthan maruma

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28 Jan 2006, 11:37
razrulz wrote:
bad day... getting all wrong (

try to turn the cube in imagination, then the equilateral becomes apparently.
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28 Jan 2006, 20:03
According to me it is 90.

BE is the angle bisector of FEA. So BEF is 45. Same is tru with FEG. So 45 + 45 should be the answer. Where am I going wrong? I think my spatial imaigination is gone. Where is my Rubik'x cube?
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28 Jan 2006, 20:40
Bhai wrote:
According to me it is 90.

BE is the angle bisector of FEA. So BEF is 45. Same is tru with FEG. So 45 + 45 should be the answer. Where am I going wrong? I think my spatial
imaigination is gone. Where is my Rubik'x cube?

Bhai,
Yes you are right about FEA and FEG. Add another line BG to your imagination and connect B-E-G. The triangle formed BEG is an equilateral traingle with sides (BE, EG, BG) each equal to a*sqrt(2).

Hence the angle is 60. HTH
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"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

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28 Jan 2006, 22:58
Very good disussion!

The OA is 60 degrees.
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29 Jan 2006, 02:08
giddi77 wrote:
Bhai wrote:
According to me it is 90.

BE is the angle bisector of FEA. So BEF is 45. Same is tru with FEG. So 45 + 45 should be the answer. Where am I going wrong? I think my spatial
imaigination is gone. Where is my Rubik'x cube?

Bhai,
Yes you are right about FEA and FEG. Add another line BG to your imagination and connect B-E-G. The triangle formed BEG is an equilateral traingle with sides (BE, EG, BG) each equal to a*sqrt(2).

Hence the angle is 60. HTH

giddi : If the 3rd side is imagined then yes i agree that its an equilateral triangle.. But isnt Bhai's argument regarding those 2 angles right..I mean those should be sufficeint..Why do we need to add 1 more line..
May be i am missing something
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29 Jan 2006, 03:20
andy_gr8 wrote:
giddi77 wrote:
Bhai wrote:
According to me it is 90.

BE is the angle bisector of FEA. So BEF is 45. Same is tru with FEG. So 45 + 45 should be the answer. Where am I going wrong? I think my spatial
imaigination is gone. Where is my Rubik'x cube?

Bhai,
Yes you are right about FEA and FEG. Add another line BG to your imagination and connect B-E-G. The triangle formed BEG is an equilateral traingle with sides (BE, EG, BG) each equal to a*sqrt(2).

Hence the angle is 60. HTH

giddi : If the 3rd side is imagined then yes i agree that its an equilateral triangle.. But isnt Bhai's argument regarding those 2 angles right..I mean those should be sufficeint..Why do we need to add 1 more line..
May be i am missing something

Andy,

The two anges FEB and FEG are not in the same plane as the is the angle BEG.

Here is an interesting link: (Infact you can rotate the cube that has hexagon inside....)
http://mathworld.wolfram.com/Cube.html
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"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

29 Jan 2006, 03:20
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