Question

Law of Sines Questions

Answer 1

A, C, D, F,

Answer 2

hm. not quite. remember your congruency theorems

for example, SSA and AAA are not congruency theorems and thus are not applicable via law of sines/cosines

Answer 3

you just have to memorize these, SSS, SAS, ASA, and AAS are the four congruency theorems applicable to your problem, and thus are the solutions

Answer 4

(AAS is the same as SAA)

Answer 5

so A, B, E, F

Answer 6

yes

Answer 7

3

Answer 8

yikes, I used to know how to do these ;_; but I don't believe 3 is a possible answer, usually there are only 0,1, or 2 possible triangles for a set of sides/angles

anyway I believe the first step would be law of sines to find the angle B

Answer 9

a/sin(A) = b/sin(B)

6/sin(100) = 10/sin(B) solve for B

Answer 10

2pi n

Answer 11

come to think of it there's an easier way to do this

since A = 110 degrees (the biggest angle) then a must be the biggest side which is not true here

so 0 solutions