Since ABCD is a rectangle, its diagonals are equal, and at the point of their intersection they are divided in half.
The area of the rectangle is equal to: Savsd = AC ^ 2 * Sin60 / 2.
AC ^ 2 = 2 * Savsd / Sin60 = 2 * 12 / (√3 / 2) = 48 / √3 = 16 * √3 cm.
AC = 4 * 4√3
Then ОА = ОВ = АС / 2 = 2 * 4√3 cm.
The AOB triangle is equilateral, since ОА = ОВ, and the AOB angle = 60.
Then AB = ОА = ОВ = 2 * 4√3 cm.
Savsd = AB * BC.
BC = Savsd / AB = 12/2 * 4√3 = 6/4√3 cm.
Answer: The sides of the rectangle are 2 * 4√3 cm and 6 / 4√3 cm.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.