In triangle ABC, a=6, b=9 and sin A=2/3. Find sin B

Question

anonymous · Answer

wait so a and b are sides?

anonymous · Answer

In general if A is a corner, side a is the side opposite.

anonymous · Answer

but A, B, and C are probably the sides.  a, b, and c are probably the angles

anonymous · Answer

If ABC is a triangle, they are the corners/ angles, ALWAYS.

anonymous · Answer

C
       /\
  a /    \ b
   /_____\
B      c     A

anonymous · Answer

C
       /\
  6 /    \ 9
   /_____\
B      c     sin(A) = 2/3                        sin(B) = ?????

anonymous · Answer

sin A = a/c
sin B = b/c

sin A = 2/3   so a/c = 2/3  and a = 6 so
2/3 = 6/x
x = 9     so side c = 9

sin B = b/c     and b = 9 and c = 9
sin B = 1

I think.....

anonymous · Answer

thats the answer I got

anonymous · Answer

what about this problem: in triangle DEF angle D =40, DE=12 meters and DF=8 meters. Find the area of triangle DEF to the nearest tenth of a square meter