Triangle Side Comparison Using Law of Sines

Consider a triangle ABC where angle A measures 60 degrees, and the side opposite angle A (side a) is 10 units long. The lengths of the other two sides, b and c, are unknown.

Using the Law of Sines, which states that $$\f\frac{a}{\sin(A)} = \f\frac{b}{\sin(B)} = \f\frac{c}{\sin(C)}$$, we need to determine the relationship between the length of side b and side c if angle B measures 45 degrees.