Answer
No Triangle.
Work Step by Step
Note: The Law of Sines is: $\frac{a}{sin(A)}$ = $\frac{b}{sin(B)}$ = $\frac{c}{sin(C)}$
Note: The domain of sine is -1 $\leq$ sin(x) $\leq$ 1.
To solve the triangle, we need to find B, C, and c.
Finding B:
We can use the Law of Sines.
$\frac{4.5}{sin(58^{o})} = \frac{12.8}{sin(B)}$
Therefore, sin(B) = 2.412
Since 2.412 is not in the domain of sine, there is no triangle.
