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Topic: Pyramid plane (Read 1092 times) |
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codpro880
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Pyramid plane
« on: Feb 8th, 2009, 6:14pm » |
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In pyramid PWXYZ, WYXZ is a rectangle and PW = PX = PY = PZ.
A plane cuts segments PW, PX, PY, and PZ at
points A, B, C, and D, respectively.
If PA = 2, PB = 12, and PC = 4, compute the length of PD.
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Noke Lieu
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Re: Pyramid plane
« Reply #1 on: Feb 8th, 2009, 9:15pm » |
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[usual nonsense to cover me, because I didn't think about it too much]
It'd strike me that this would crop up in a text book under ratios, rather than geometry.
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Noke Lieu
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Re: Pyramid plane
« Reply #2 on: Feb 9th, 2009, 7:35pm » |
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goes to show what I know. 
As P was central above PXYZ, I figured AB parallel to CD; and BC to AD.
then (PB/PC) = (PA/PZ) giving value of 2/3
Australians, walking upside down and all that... 
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