SOLUTION: Given the following values, how many triangles are there? a = 16 b = 18 A = 60

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Question 400477: Given the following values, how many triangles are there?
a = 16
b = 18
A = 60




















Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
2 triangles are possible.
From the sine law, sinA%2Fa+=+sinB%2Fb, we getsinB+=+%2818sin60%5Eo%29%2F16+=+0.97248 to 5 decimal places.
==> B+=+76%5Eo58'36"
1st possibility:
A = 60%5Eo
B = +76%5Eo58'36"
C = 43%5Eo1'24"
2nd possibility:
A = 60%5Eo
B = 180%5Eo - +76%5Eo58'36" = 103%5Eo1'24"
C = 16%5Eo58'36"
Just get the sides using several applications of the sine law.