To solve triangle ABC(with angles A,B and C, sides a, b, and c, with side length la, lb, lc respectively)

Question

(A) If A = 45°, la = 7√2, and lb = 7, then there is one solution.
(B) If A = 30°, la < lb/2, then there is no solution.
(C) If A = 30°, la > lb/2, then there are two solutions.
(D) All the above (A) (B) (C) are true.
(E) None of the above (A) (B) (C) is true.

Answer 1

did you try drawing the triangles?
(B) is true if b is the hypotenuse. (B = 90°)
Not true if C > 60°

See what you can do with (A) and (C)