## anonymous one year ago Determine the number of possible triangles, ABC, that can be formed given angle A = 30°, a = 4, and b = 6. a. 0 b. 1 c. 2

1. anonymous

@amoodarya

2. anonymous

can you help

3. amoodarya

one way to solve is : using law of cosine find "c" then you can find number of triangle $b^2+c^2-a^2=2(b)(c) \cos(A)\\36-16+c^2=2(6)(c)\cos(30)$

4. amoodarya

or using law of sine $\frac{ \sin(A) }{ a }=\frac{ \sin(B) }{ b}\\\frac{\sin30}{4}=\frac{\sin(B)}{6}\\sin(B)=\frac{3}{4}$

5. anonymous

how can i get my answer from 3/4?

6. amoodarya

B=?

7. anonymous

6

8. amoodarya

can you find B?

9. amoodarya

angle of B ?

10. anonymous

i dont know how

11. amoodarya

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12. amoodarya

B=48.5 or B=180-48.5

13. anonymous

131.5?

14. anonymous

thats not one of my answers?

15. anonymous

16. anonymous

i think its 2

17. amoodarya

then c=? a=30 b=131.5 , b=48.5

18. amoodarya

number of possibilities is ?