The diagonal of a rhombus, 8 cm long, forms an angle of 60 degrees with its side. Find the side of the diamond.

Given a rhombus AВСD, AC = 8 cm – diagonal. In the ABC triangle, the angle is C = 60 degrees. In a rhombus, all sides are equal, which means that the ABC triangle is isosceles. In an isosceles triangle, the angles at the base are equal. So the angle A is 60 degrees. The sum of the angles of a triangle is 180 degrees.
180- (60 + 60) = 60 degrees – found the angle B
It turns out that the angle A is equal to the angle B is equal to the angle C. A triangle in which all angles are equal is called equilateral. The ABC triangle is equilateral, which means AB = BC = AC = 8 cm