Consider the triangle shown in the diagram below.

a. Suppose that m?A= 80?, m?C=37, and c=42. What is the value of a?

b. Now, suppose that m?B=52, m?C=31, and a=19.9. What is the value of c?

$Consider the triangle shown in the diagram below. a. Suppose that $ m \angle A=80^{\circ}, m \angle C=37^{\circ} $, and \($

Question

Consider the triangle shown in the diagram below.

a. Suppose that m?A= 80?, m?C=37, and c=42. What is the value of a?

b. Now, suppose that m?B=52, m?C=31, and a=19.9. What is the value of c?

$Consider the triangle shown in the diagram below. a. Suppose that $ m \angle A=80^{\circ}, m \angle C=37^{\circ} $, and \($

Consider the triangle shown in the diagram below. a. Suppose that

m ? A = 8 0^{?}, m ? C = 3 7^{?}

, and

c = 42

. What is the value of

a

?

a =

b. Now, suppose that

m ? B = 5 2^{?}, m ? C = 3 1^{?}

, and

a = 19.9

. What is the value of

c

?

c =

Statement of the Law of Sines. The Law of Sines states that for the triangle shown below, the following hold:

\frac{a}{sin ( m ? A )} = \frac{b}{sin ( m ? B )} = \frac{c}{sin ( m ? C )}

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(Solved): Consider the triangle shown in the diagram below. a. Suppose that mA= 80, mC=37, and c=42. ...