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Question Number 211277 by mr W last updated on 04/Sep/24

Commented by mr W last updated on 04/Sep/24

find the volume of the tetrahedron  in terms of a,b,c, θ with 0<θ≤120°.

findthevolumeofthetetrahedronintermsofa,b,c,θwith0<θ120°.

Commented by BHOOPENDRA last updated on 06/Sep/24

Mr.W the condition  you have given  is it  talking about fermat point  then i think i can try further  like if we see bottom view of this then  the point O should be fermat point ?

Mr.WtheconditionyouhavegivenisittalkingaboutfermatpointthenithinkicantryfurtherlikeifweseebottomviewofthisthenthepointOshouldbefermatpoint?

Commented by BHOOPENDRA last updated on 06/Sep/24

Commented by mr W last updated on 07/Sep/24

for θ≠120° i don′t think point O is  the fermat point in bottom view.   if you think it is, please prove that  and show your working.  i don′t have the solution.

forθ120°idontthinkpointOisthefermatpointinbottomview.ifyouthinkitis,pleaseprovethatandshowyourworking.idonthavethesolution.

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