SOLUTION: Determine the measure of side b, given the following information for triangle ABC: c=59ft, A=65degrees, B=65degrees

Algebra ->  Trigonometry-basics -> SOLUTION: Determine the measure of side b, given the following information for triangle ABC: c=59ft, A=65degrees, B=65degrees      Log On


   



Question 87720: Determine the measure of side b, given the following information for triangle ABC: c=59ft, A=65degrees, B=65degrees
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the measure of side b, given the following information for triangle ABC: c=59ft, A=65degrees, B=65degrees
=======================================================================
Since the sum of all angles in a triangle = 180 degrees, you can find Angle C:
C=180-65-65
C=50
Now that you have this angle, you can use the Law of Sines to solve the problem:
b%2Fsin%28B%29=c%2Fsin%28C%29
b%2Fsin%2865%29=59%2Fsin%2850%29
b=%2859%2Asin%2865%29%29%2Fsin%2850%29
Plug this into your calculator and you are done.
Good Luck,
tutor_paul@yahoo.com