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555-605 Level|   Geometry|      
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kirankp
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What is the measure of the angle made by the diagonals of th 29 Dec 2009, 05:39
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

56% (00:48) correct 44% (01:06) wrong based on 432 sessions

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What is the measure of the angle made by the diagonals of the any adjacent sides of a cube.

A. 30
B. 45
C. 60
D. 75
E. 90
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C
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PareshGmat
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What is the measure of the angle made by the diagonals of th 19 Jun 2014, 02:29
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Answer = C = 60

The triangle formed is equilateral

Refer diagram below:
Attachments

sq.jpg
sq.jpg [ 36.25 KiB | Viewed 11004 times ]

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aknine
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What is the measure of the angle made by the diagonals of th 29 Dec 2009, 07:17
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C.. 60 degrees

All the diagonals are equal. If we take 3 touching sides and connect their diagonals, we form an equilateral Triangle. Therefore, each angle would be 60.

Any other method?
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xcusemeplz2009
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What is the measure of the angle made by the diagonals of th 29 Dec 2009, 07:50
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aknine
xcusemeplz2009
imo its 45

please explain.
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sorry my bad i was wrng in understanding the Q,
you are right its 60
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sagarsabnis
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What is the measure of the angle made by the diagonals of th 29 Dec 2009, 07:55
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could anyone please explain in detail??
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Bunuel
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What is the measure of the angle made by the diagonals of th 29 Dec 2009, 11:49
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sagarsabnis
could anyone please explain in detail??
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Take the diagonals of adjacent sides of a cube, so that they make an angle.

Join the ends of these diagonals to get the triangle.

You'll see that the line segment joining the ends of these diagonals will also be the diagonal of a side of a cube.

Hence we have the triangle all 3 sides of which are diagonals of a side of a cube. All diagonals are equal, which means that we have equilateral triangle. Any angle in equilateral triangle is 60 degrees.

Hope it's clear.
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kirankp
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What is the measure of the angle made by the diagonals of th 04 Jan 2010, 01:20
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answer is 60 degrees!
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Bunuel
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What is the measure of the angle made by the diagonals of th 18 Jun 2014, 13:55
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Bunuel
sagarsabnis
could anyone please explain in detail??

Take the diagonals of adjacent sides of a cube, so that they make an angle.

Join the ends of these diagonals to get the triangle.

You'll see that the line segment joining the ends of these diagonals will also be the diagonal of a side of a cube.

Hence we have the triangle all 3 sides of which are diagonals of a side of a cube. All diagonals are equal, which means that we have equilateral triangle. Any angle in equilateral triangle is 60 degrees.

Hope it's clear.
Show more

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