Question

The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used.

C = 37°, a = 19, c = 8

Answer 1

so the law of sines says

\[\frac{\sin(A)}{a} = \frac{\sin(C)}{c}\]

then using your information

\[\sin(A) = \frac{19 \times \sin(C)}{8}\]


for a triangle to be formed from the information

-1 <= sin(A) <= 1

so just find the value of sin(A) using the information above...