Question

If a=4, b=5, and angle A=30, the number of distinct triangles that may be constructed is...

Answer 1

Two sides and an angle uniquely define a triangle. So, only one triangle can be formed with this information.

Answer 2

My answer key that our teacher gave us says the answer is 2...

Answer 3

Hmmmm.....it can be 2 if the 30 degree angle is not necessarily tied to the opposite side A. I don't know how to infer that from problem statement.

May be get a second opinion.

Answer 4

I think it might have something to do with the Law of Sine if that is possible...