SOLUTION: Assume α is opposite side a, β is opposite side b, and γ is opposite side c. If possible, solve the triangle for the unknown side. Round to the nearest tenth. (If no

Algebra ->  Trigonometry-basics -> SOLUTION: Assume α is opposite side a, β is opposite side b, and γ is opposite side c. If possible, solve the triangle for the unknown side. Round to the nearest tenth. (If no      Log On


   

Question 1129911: Assume α is opposite side a, β is opposite side b, and γ is opposite side c. If possible, solve the triangle for the unknown side. Round to the nearest tenth. (If not possible, enter IMPOSSIBLE.)
β = 56.8°,
a = 10.2,
c = 15.3

b=?

thanks in advance
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


Two sides and the included angle, as is given in this case, always produces a single triangle. The length of the third side is given by the law of cosines.

b%5E2+=+a%5E2%2Bc%5E2-2ac%2Asin%28B%29

You can do the calculations as easily as we can....