A triangle has sides A, B, and C. The angle between sides A and B is pi/3. If side C has a length of 4 and the angle between sides B and C is pi/12, what is the length of side A?
1 Answer
Mar 23, 2017
Explanation:
The triangle described looks like this (not to scale):
For any triangle as shown below, where
Therefore, by the law of Sines:
A/(sin(pi/12))= C/(sin(pi/3)
A/(sin(pi/12)) = 4/(sin(pi/3))
A = (4sin(pi/12))/(sin(pi/3)) = 1.1954...
Final Answer
