Provide an appropriate response.Explain the condition that must exist to determine that there may be two triangles satisfying given values of a, b, and A, once the value of sin A is found. What kind of triangle will this be?

Question

What will be an ideal response?

Answer 1

There may be two triangles if 0 < sin A < 1. In the first triangle, A1 is an acute angle. In the second triangle, A2 is an obtuse angle and is the supplement of angle A1 in the first triangle.