If the area of the rhombus is 18 cm2, and the acute angle is 30 degrees, then the length of the side of the rhombus is?

Given:
АВСК – rhombus,
the area of the ABSK rhombus is 18 square centimeters,
angle A = 30 degrees.
Find the sides of AVSK -?
Decision:
1) Consider a rhombus ABCK. He has all sides are equal, that is, AB = BC = SK = KA;
2) the area of the ABSK rhombus is equal to the product of its two sides by the angle between them, that is
S avsk = AB ^ 2 * sin of angle A;
18 = AB ^ 2 * sin 30 degrees;
18 = AB ^ 2 * 1/2;
AB ^ 2 = 18: 1/2;
AB ^ 2 = 18 * 2;
AB ^ 2 = 36;
AB = √36;
AB = 6 centimeters.
Answer: 6 centimeters; 6 centimeters; 6 centimeters; 6 centimeters.