Question

Two sides and an angle​ (SSA) of a triangle are given. Determine whether the given measurements produce one​ triangle, two​ triangles, or no triangle at all. Solve each triangle that results.  

a equals 9 comma


b equals 8 comma


A equals 50 degrees

Answer 1

To determine if the given measurements produce a triangle and solve it using the Law of Sines.

Step-by-step explanation:

To determine if the given measurements produce a triangle, we can use the Law of Sines. The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant. In this case, we can use the formula:

a/sinA = b/sinB = c/sinC

Substituting the given values, we have:

9/sin50° = 8/sinB = c/sinC