SOLUTION: Find C in the following triangle, if it exist. a= 31m, b=42m, c=60m (Enter your answer rounded to the nearest ten minutes.) Thank you.

Algebra ->  Trigonometry-basics -> SOLUTION: Find C in the following triangle, if it exist. a= 31m, b=42m, c=60m (Enter your answer rounded to the nearest ten minutes.) Thank you.      Log On


   

Question 983867: Find C in the following triangle, if it exist.
a= 31m, b=42m, c=60m
(Enter your answer rounded to the nearest ten minutes.)
Thank you.
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Same problem, different angle.
==========================================================
Find B in the following triangle, if it exist.
a= 31m, b=42m, c=60m
(Enter your answer rounded to the nearest ten minutes.)
=====================
Use the Cosine Law:
b%5E2+=+a%5E2+%2B+c%5E2+-+2ac%2Acos%28B%29
1764+=+961+%2B+3600+-+3720%2Acos%28B%29
cos(B) =~ 0.75188172
B =~ 41º10'

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

a=+31m,
b=42m,
c=60m
Use the Cosine Law:
c%5E2+=++a%5E2+%2B+b%5E2++-+2ab%2Acos%28C%29
%2860m%29%5E2+=++%2831m%29%5E2+%2B+%2842m%29%5E2++-+2%2831m%29%2842m%29%2Acos%28C%29
3600m%5E2+=+961m%5E2+%2B+1764m%5E2++-+2604m%5E2%2Acos%28C%29
3600m%5E2+=+2725m%5E2++-+2604m%5E2%2Acos%28C%29
3600m%5E2+-2725m%5E2+=+-+2604m%5E2%2Acos%28C%29
875m%5E2+=+-+2604m%5E2%2Acos%28C%29
875m%5E2%2F-+2604m%5E2=cos%28C%29
cos%28C%29=-+0.3360215053763441
C=109.63466712778866°
C=109.6347°
C=109°38'