Question

State whether the given measurements determine zero, one, or two triangles. A = 58°, a = 25, b = 28

Answer 1

I think the answer is one triangle not for sure though

Answer 2

Well, we can find c with the equation c^2=a^2+b^2
c^2=25^2+28^2    c^2=625+784   c^2=1409    square root both sides to isolate c. c=√1409   c=37.53664876

A = 58°
Tan B=b/a   Tan B=28/25  Tan B=1.12   B=tan^-1(1.12)  B=48.2397003° or B=48°

All triangles have a total of 180° internal angel measurements. 180°-58°-48°=74°
This works because angle C would be the largest angle anyways.