Hello yeunjuA question like this, where you are given two sides of a triangle and the non-included angle, and two triangles are possible, is called theAmbiguous Case. The attached diagram shows how you can draw the two triangles with the measurements you were given.

You've probably found the one where is acute (that's in my diagram). But there's also a possibility that is obtuse (like ). Since is isosceles, you can probably see why .

Can you complete the solution of the second triangle now?

Grandad