Question and Answers Forum

All Questions      Topic List

Geometry Questions

Previous in All Question      Next in All Question      

Previous in Geometry      Next in Geometry      

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°.

$${find}\:{the}\:{volume}\:{of}\:{the}\:{tetrahedron} \\ $$$${in}\:{terms}\:{of}\:{a},{b},{c},\:\theta\:{with}\:\mathrm{0}<\theta\leqslant\mathrm{120}°. \\ $$

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 ?

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

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.

$${for}\:\theta\neq\mathrm{120}°\:{i}\:{don}'{t}\:{think}\:{point}\:{O}\:{is} \\ $$$${the}\:{fermat}\:{point}\:{in}\:{bottom}\:{view}.\: \\ $$$${if}\:{you}\:{think}\:{it}\:{is},\:{please}\:{prove}\:{that} \\ $$$${and}\:{show}\:{your}\:{working}. \\ $$$${i}\:{don}'{t}\:{have}\:{the}\:{solution}. \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com