How do you find the exact value of the third side given #triangle DEF#, #d=sqrt3#, e=5, and #mangleF=pi/6#?
Since we don't know that the triangle is a right triangle, we're required to use the Cosine Law. I will also presume that
The Law of Cosines states that:
In our case, it becomes (I'll call the unknown side
Next we take the square root on both sides: