In the triangle ABC, ab = 2 ∠ C = 50 ° when ∠ B = what is the maximum length of BC

In the triangle ABC, ab = 2 ∠ C = 50 ° when ∠ B = what is the maximum length of BC

Consider: the isosceles triangle with ab = 2 as the base and 50 ° vertex angle is unique, and make the circumscribed circle of the triangle
Then C can only be a point on the circumscribed circle
It is obvious that the diameter is the largest, that is, the length of BC reaches the maximum when ∠ B = 40 °