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Volume Ratio Validation (Posted on 2015-01-18) Difficulty: 3 of 5
ABCD is a tetrahedron. The three edges at B are mutually perpendicular. O is the midpoint of AB and K is the foot of the perpendicular from O to CD.

Given that AC = x, BD = y, AB = z, and:
2*x*y = z2

Determine the ratio: volume(KOAC)/volume(KOBD) in terms of x, y and z.

No Solution Yet Submitted by K Sengupta    
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re: Solution Comment 2 of 2 |
(In reply to Solution by Jer)

I got the same result.


My questions are:

Why was AC defined as x and not BC?

What does the following have to do with the problem? 2*x*y = z2

  Posted by Bractals on 2015-01-22 15:57:27
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