Measure on angle in a cube

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Measure on angle in a cube

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_angle.gif
Cube
Source: — Problem Solving |

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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.

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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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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.