Solve the triangle ABC in which α=48°32' , a=38.87 cm & c=24.93 cm
.
.
.
ANSWER= b=50.59, β=102°45' , γ=28°43'

Question

Solve the triangle ABC in which α=48°32' , a=38.87 cm & c=24.93 cm
.
.
.
ANSWER= b=50.59, β=102°45' , γ=28°43'

anonymous · Answer

????

hartnn · Answer

sine rule will directly give you γ

anonymous · Answer

$$\frac{ a }{ \sin \alpha }=\frac{ c }{ \sin \gamma }$$

anonymous · Answer

what will be the formula of sin gamma

hartnn · Answer

then cos rule will give you b
c^2 = a^2+b^2 -2ab cos γ 

then sine rule again will give you β.

sin gamma is only unknown there....
you'll get sin gamma =....
gamma = sin^-1 (....)

anonymous · Answer

what will be the formula of sin gamma??

anonymous · Answer

sin gamma = sin alpha x c /a is this the formula???

hartnn · Answer

oh, that...yes 
(c/a) * sin aplha

anonymous · Answer

its coming wrong

anonymous · Answer

my calculator is giving a math error

hartnn · Answer

....sin gamma is coming > 1 ??

hartnn · Answer

https://www.google.co.in/search?q=24.93+sin+(48.32+degrees)+%2F38.87&oq=24.93+sin+(48.32+degrees)+%2F38.87&aqs=chrome.0.57.11783&sourceid=chrome&ie=UTF-8 its not error for me

anonymous · Answer

it is coming < 1 0_0

hartnn · Answer

sin inverse of 0.479

hartnn · Answer

28.621 degrees

anonymous · Answer

I GOT IT I WAS TYPING WRONG

hartnn · Answer

okk..so got b and beta also ?

anonymous · Answer

we can also find beta by
alpha + beta + gamma = 180 degrees
beta = 180 - (alpha +gamma)

hartnn · Answer

good!

hartnn · Answer

i mean better :)