SOLUTION: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) a = 21, b = 46, c = 29 ∠B = ∠C =

Algebra ->  Trigonometry-basics -> SOLUTION: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) a = 21, b = 46, c = 29 ∠B = ∠C =      Log On


   

Question 808120: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.)
a = 21, b = 46, c = 29
∠B =
∠C =
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.)
a = 21, b = 46, c = 29
∠B =
∠C =
--------
Use the Law of Cosines::
b^2 = a^2 + c^2 - 2ac*cos(B)
-----
cos(B) = [b^2-a^2-c^2]/(-2ac)
-----
cos(B) = [-0.6847]
----
B = cos^-1(-0.6847) = 133.21 degrees
==============
cos(C) = [c^2-a^2-b^2]/(-2ab) = 0.8882
------
C = cos^-1(0.8882) = 27.35 degrees
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Cheers,
Stan H.
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