Solve the triangle if b=16 and B = 55 degrees.
(Solving for the two other sides)

Question

Solve the triangle if  b=16 and B = 55 degrees.
(Solving for the two other sides)

mathmale · Answer

Would appreciate your supplying a sketch of this triangle.

Anyway, seeing that one angle (B) and the length of the side opposite B (b) are given, I'd use this form of the Law of Cosines:

b^2 = a^2 + c^2 - 2*a*c*cos B.

While this is just one equation in 2 unknowns, it will give you the relationship between a and c.  You could then choose an arbitrary positive value for a and calculate the corresponding value for c; doing so would enable you to calculate the remaining two angles.  Note that this "solution" would not be unique because you'd arbitrarily chosen the value of a.