Measure on angle in a cube

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viju9162: Master | Next Rank: 500 Posts; Posts: 434; Joined: Mon Jun 11, 2007 9:48 pm; Location: Bangalore; Thanked: 6 times; GMAT Score:600

by viju9162 » Mon May 18, 2009 2:05 am

Hello Friends,

The question is about to find the angle within a cube. It goes like this:

What is the degree measure of ABC ?

A> 30
B> 45
C> 60
D> 75
E> 90

Please look at the attached document.

Attachments

: Cube

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Source: Beat The GMAT — Problem Solving | Mon May 18, 2009 2:05 am

bluementor: Master | Next Rank: 500 Posts; Posts: 418; Joined: Wed Jun 11, 2008 5:29 am; Thanked: 65 times

by bluementor » Mon May 18, 2009 2:13 am

Since this is a cube, points ABC will form a equilateral triangle (lengths AB, BC and AC are all the same). And we know that all three angles in an equilateral triangle are 60 degrees each.

Choose C.

-BM-

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viju9162: Master | Next Rank: 500 Posts; Posts: 434; Joined: Mon Jun 11, 2007 9:48 pm; Location: Bangalore; Thanked: 6 times; GMAT Score:600

by viju9162 » Mon May 18, 2009 2:25 am

Hi,

Thanks for the explaination. I will be glad if you can explain in detail. I didnt quite understand how those lines formed a equilateral triangle?

Regards,
Viju

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dtweah: Master | Next Rank: 500 Posts; Posts: 487; Joined: Fri Mar 27, 2009 5:49 am; Thanked: 36 times

by dtweah » Mon May 18, 2009 4:48 am

viju9162 wrote:Hi,

Thanks for the explaination. I will be glad if you can explain in detail. I didnt quite understand how those lines formed a equilateral triangle?

Regards,
Viju

Draw hypotenuse AC. then the three sides of ABC are hypotenuses of right triangles with the same side. That is why they are equal.

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