The side of the rhombus is 8 cm, and its acute angle is 60 degrees. Find the area of the rhombus.

A rhombus is a parallelogram with equal sides.

Since the length of the side of the rhombus and the magnitude of the acute angle are known, then to calculate the area, we use the formula for the area behind the side and the angle:

S = a ^ 2 * sin α;

sin 60º = 0.866;

S = 82 * 0.866 = 64 * 0.866 ≈ 55.4 cm2.

Answer: the area of the rhombus is 55.4 cm2.