SOLUTION: How many triangles can be formed if side a = 29 ft? In triangle ABC, A = 60°, and side c = 18 ft.

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Question 1080836: How many triangles can be formed if side a = 29 ft? In triangle ABC, A = 60°, and side c = 18 ft.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

How many triangles can be formed if side a+=+29ft?
In triangle ABC, < A+=+60°, and side c+=+18ft.

a%2Fsin%28A%29=c%2Fsin%28C%29
29%2Fsin%2860%29=18%2Fsin%28C%29
29%2F%28sqrt%283%29%2F2%29=18%2Fsin%28C%29
29sin%28C%29=18%28sqrt%283%29%2F2%29
sin%28C%29=15.5884572681%2F29
sin%28C%29=0.5375330092
C=sin%5E-1%280.5375330092%29
< +C=32.52°
< B=180-%2860%2B32.52%29=180-92.52=87.48°

b%2Fsin%28B%29=a%2Fsin%28A%29
b%2Fsin%2887.48%29=29%2Fsin%2860%29
b%2F0.9990329=33.48631561
b=33.48631561%2A0.9990329
b=33.45ft
so, there is only one triangle that could be formed.