Question

State whether the given measurements determine zero, one, or two triangles. b = 84°, b = 28, c = 25

Answer 1

if B= 84°, b=28 and c= 25
Using the cosine formula:
SinB/b = SinC/c
Sin84°/28 = SinC/25
SinC = (Sin84°)(28)/25
C = 62.6° 0r 117.4°
When B = 84°, it is not possible for C = 117.4°
so, angles of triangles did not exceed 180°
it means there is only one triangle