Find the corners of a rhombus if you know that its perimeter is 16 cm and the height of the rhombus is 1 cm.

1. It is known that all 4 sides of a rhombus are equal, which means that the side specified in the problem statement has a length of 16 cm: 4 = 4 cm.
When we lower the perpendicular from the top of the rhombus to its side, we get a right-angled triangle, whose leg is 1 cm, and the hypotenuse is 4 cm.
Let’s calculate one of the corners of the rhombus:
sin A = 1/4 = 0.25, and from the table of sines, we determine that the angle is 15 °.
2. We know that the sum of the angles adjacent to one side is 180 °, which means that the second larger angle is 180 ° – 15 ° = 165 °.
Answer: The acute angle is 15 °, obtuse 165 °.