Question

How do you know how many triangles are created given A = 61°, a = 23, b = 24?

Answer 1

A = 61, a = 23; b = 24.

`sin B/b = sin A/a -> sin B = (24(0.87))/23 = 0.91`

sin B = 0.91 gives 2 angles B = 65.87 and B = (180 - 65.87) = 114.13. Two triangles are created. However the triangle with B = 114.13 is incompatible with the values of a and b.