Prove that the side opposite the 30 degree angle is equal to half of the third side, then the triangle is a right triangle How can I spell 60 degrees

Prove that the side opposite the 30 degree angle is equal to half of the third side, then the triangle is a right triangle How can I spell 60 degrees

Method 1 cosine theorem
The ratio of an edge to its opposite angle is constant
The cosine of the third side is 1, so the angle is a right angle
Method 2 is to make a triangle congruent with it, and then put two together to get a 60 degree triangle, and then prove congruence