# In rhombus ABCD, angle A is 30 degrees. Perpendiculars BM and BK are drawn from vertex B to sides AD and CD

In rhombus ABCD, angle A is 30 degrees. Perpendiculars BM and BK are drawn from vertex B to sides AD and CD, respectively. BM = 4cm. What is the perimeter of the rhombus.

Consider a right-angled triangle ABM, in which, by condition, the angle ABM = 30, the angle AMB = 90, since BM is perpendicular to AD. Then the BM leg lies opposite the angle 30 and, accordingly, is equal to half the length of the hypotenuse AB. ВM = AB / 2.

AB = 2 * BM = 2 * 4 = 8 cm.

In a rhombus, all sides are equal to each other, then the perimeter of the rhombus will be equal to: Ravsd = 4 * AB = 4 * 8 = 32 cm.

Answer: The perimeter of the rhombus is 32 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.