SOLUTION: How do I find the missing angles and sides in this triangle? I was told to solve via using the Law of Sines and Cosines. Triangle: https://i.imgur.com/lhsjUel.png For my sol

Algebra ->  Triangles -> SOLUTION: How do I find the missing angles and sides in this triangle? I was told to solve via using the Law of Sines and Cosines. Triangle: https://i.imgur.com/lhsjUel.png For my sol      Log On


   



Question 1113778: How do I find the missing angles and sides in this triangle? I was told to solve via using the Law of Sines and Cosines.
Triangle: https://i.imgur.com/lhsjUel.png
For my solution currently I have:
Angle A = 49 degrees
Angle B = 66 degrees
Angle C = 65 degrees
side a = 18
side b = 22.7883
side c = 11
I just want to make sure my answer is correct.

Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do I find the missing angles and sides in this triangle? I was told to solve via using the Law of Sines and Cosines.
Triangle: https://i.imgur.com/lhsjUel.png
For my solution currently I have:
Angle A = 49 degrees
Angle B = 66 degrees
Angle C = 65 degrees
side a = 18
side b = 22.7883
side c = 11
I just want to make sure my answer is correct.
----------------
Law of Sines::
sin(C)/11 = sin(49)/18
sin(C) = (11/18)(sin(49) = 0.4612
C = arcsin(0.4612) = 27.47 degrees
The B = 180-(27.47+49) = 103.53 degrees
Use Law of Sines to find side AC which is opposite angle B.
Cheers,
Stan H.
--------------

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Angle A = 49 degrees
Angle B = 66 degrees
Angle C = 65 degrees
side a = 18
side b = 22.7883
side c = 11
====================
18/sin(A) = 11/sin(C)
sin(C) = 11*sin(49)/18 =~ 0.46121
C =~ 27.5 degs
===============================
A quick check for answers: the longest side is opposite the largest angle.