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koli123able
 2 years ago
Prove the followings
koli123able
 2 years ago
Prove the followings

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koli123able
 2 years ago
Best ResponseYou've already chosen the best response.0Number 1 \[\frac{ \Delta }{ sa }=s \tan \frac{ \alpha }{ 2 }\]

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1what does alpha , a , s , \(\Delta\) represent ?

koli123able
 2 years ago
Best ResponseYou've already chosen the best response.0\[\Delta=\sqrt{s(sa)(sb)(sc)}\]

koli123able
 2 years ago
Best ResponseYou've already chosen the best response.0\[\tan \frac{ \alpha }{ 2 }=\sqrt{\frac{ (sb)(sc) }{ s(sa) }}\]

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1right... got it now..

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1so now put these values : \[\large{\frac{ \sqrt{s(sa)(sb)(sc)}}{sa} = \frac{\sqrt{sa} \sqrt{s(sb)(sc)}}{sa} }\]

koli123able
 2 years ago
Best ResponseYou've already chosen the best response.0prove it using either l.h.s or r.h.s

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1Yeah I am using LHS only

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1well I can write :; \(\large{\frac{\sqrt{sa}}{sa} }\) as \(\frac{1}{\large{\sqrt{sa}}}\)

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1therefore I get : \[\large{\frac{\sqrt{s(sb)(sc)}}{\sqrt{sa}}}\] = \[\large{\sqrt{\frac{(sb)(sc)s^2}{s(sa)}}} \] That is : \[\large{s\tan \frac{\alpha}{2}}\]

koli123able
 2 years ago
Best ResponseYou've already chosen the best response.0can u prove it by multiplying and dividing trick i did'nt understand the roots u changed

koli123able
 2 years ago
Best ResponseYou've already chosen the best response.0like taking r.h.s and M & D it by \[\sqrt{s(sa)}\]

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.1see : dw:1360917633731:dw

koli123able
 2 years ago
Best ResponseYou've already chosen the best response.0NUMBER 2\[\frac{ sa }{ \Delta }+\frac{ sb }{ \Delta }+\frac{ sc }{ \Delta }= \frac{ s }{ \Delta }\]

koli123able
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac{ sa+sb+sc }{ \Delta }\]

koli123able
 2 years ago
Best ResponseYou've already chosen the best response.0what to do after this??

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2didn't you ask the first one earlier also? :O also, for 2nd, we know that s is the semiperimeter , hence, \(s= (a+b+c)/2 > 2s = a+b+c\) so, your numerator\( = sa+sb+sc = 3s (a+b+c) =.... ?\)

koli123able
 2 years ago
Best ResponseYou've already chosen the best response.0:D yes i did asked the first 1
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