One of the corners of the rhombus = 120 °. find the smaller diagonal of the rhombus if its perimeter = 24cm.

1) First, we find the unknown angles. The angles that lie opposite each other in a rhombus are equal. One pair of them is equal to 120 degrees, and the other (360-120-120) / 2 = 60.
2) We are looking for a smaller diagonal (first, of course, we draw them). It is located opposite the smaller angle.
Consider the formed right-angled triangle. Find from this triangle half of the diagonal. It is equal to 3 (the side of the rhombus is the hypotenuse, the sides of the rhombus are equal, the leg, which opposite 30 degrees is equal to 1/2 of the hypotenuse). Multiply 2 by 3. The answer is 6.