Geometry Problem

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## Saturday, February 19, 2011

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## Saturday, February 19, 2011

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Problem 581: Volume of two Triangular Pyramids, Equal Trihedral Angle, Product of three Edges

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Online Geometry theorems, problems, solutions, and related topics.

Geometry Problem

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draw A'H', AH altitudes on OB'C', OBC

ReplyDeletefrom 580 about OB'C' and OBC =>

S1/S =(OB'∙OC')/(OB∙OC) (1)

from ▲A'H'O, ▲AHO A'H'/AH = A'O/AO (2)

V' = OB'C'∙A'H' and V = OBC∙AH substitute (1) & (2)

V'/V = (OB'∙OC'∙OA')/(OB∙OC∙OA)