SOLUTION: In triangle ABC, a = 4, b = 3, and cos C = -1/2. What is the length of c?

Algebra ->  Trigonometry-basics -> SOLUTION: In triangle ABC, a = 4, b = 3, and cos C = -1/2. What is the length of c?      Log On


   



Question 957415: In triangle ABC, a = 4, b = 3, and cos C = -1/2. What is the length of c?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In triangle ABC, a = 4, b = 3, and cos C = -1/2. What is the length of c?
------
c^2 = a^2+b^2-2ab*cos(C)
----
c^2 = 16 + 9 - 2*4*3(-1/2)
----
c^2 = 25-12
c = sqrt(13)
--------------
Cheers,
Stan H.
---------------