SOLUTION: i am very confused in working with the law of sines. i need help finding the measurements of sides b, and c, and angle <C. i already have the given information. <A=54 <B=29

Algebra ->  Trigonometry-basics -> SOLUTION: i am very confused in working with the law of sines. i need help finding the measurements of sides b, and c, and angle <C. i already have the given information. <A=54 <B=29       Log On


   

Question 174858: i am very confused in working with the law of sines.
i need help finding the measurements of sides b, and c, and angle i already have the given information.



and i already know that your help would be appreciated.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
This site explains it quite well:
http://hyperphysics.phy-astr.gsu.edu/hbase/lsin.html
.
Given:
.
Since the sum of the three interior angles of any triangle equals 180, we have:
C = 180 - (54+29)
C = 180 - 83
C = 97 degrees
.
Then, from the law of sines we have the relation:
a%2Fsin%28A%29+=+c%2FSin%28C%29
10%2Fsin%2854%29+=+c%2FSin%2897%29
10sin%2897%29%2Fsin%2854%29+=+c
10sin%2897%29%2Fsin%2854%29+=+c
+12.269+=+c