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Topic: Pyramid plane (Read 1114 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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a shade of wit and the art of farce.
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