## koli123able 2 years ago 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'

1. koli123able

????

2. hartnn

sine rule will directly give you γ

3. koli123able

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

4. koli123able

what will be the formula of sin gamma

5. hartnn

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 (....)

6. koli123able

what will be the formula of sin gamma??

7. koli123able

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

8. hartnn

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

9. koli123able

its coming wrong

10. koli123able

my calculator is giving a math error

11. hartnn

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

12. hartnn
13. koli123able

it is coming < 1 0_0

14. hartnn

sin inverse of 0.479

15. hartnn

28.621 degrees

16. koli123able

I GOT IT I WAS TYPING WRONG

17. hartnn

okk..so got b and beta also ?

18. koli123able

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

19. hartnn

good!

20. hartnn

i mean better :)