SOLUTION: Using the Angle-Side-Angle triangle, A=72.4�, C=38.7�, b=3.8cm. What are the values for Angle B, a, and c? A.) 68.9; 3.88cm; 2.72cm B.) 68.9; 3.88cm; 2.55cm C.) 68.9; 2.72cm;

Question 1068333: Using the Angle-Side-Angle triangle, A=72.4�, C=38.7�, b=3.8cm.
What are the values for Angle B, a, and c?
A.) 68.9; 3.88cm; 2.72cm
B.) 68.9; 3.88cm; 2.55cm
C.) 68.9; 2.72cm; 3.88cm
D.) 68.9; 2.55cm; 3.88cm
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Law of sines
a/sin A=a/sin 72.4=a/0.9532
b/sin B=3.8/sin 68.9(angles sum to 180)=4.0731
c/sin C=c/sin 38.7=c/0.6252
c=0.6252*4.073=2.55
a=3.88
B
Answer by ikleyn(52780) (Show Source): You can put this solution on YOUR website!
.
First of all, angle B = 180� - 72.4� - 38.7� = 68.9�.

Now, apply the Law of sines (see the lesson Law of sines in this site)

= ,

which gives you

= .

Find "a" from here: a = .

Use your calculator.

Similar procedure works for "c".

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