# Given a parallelogram, the acute angle of which is 60 degrees and the small side is 10 cm

May 30, 2021 | education

| **Given a parallelogram, the acute angle of which is 60 degrees and the small side is 10 cm a) find the height of the parallelepiped, b) find the length of the larger side of the parallelepiped, if it is known that the area of the parallelogram is 127 cm2**

Through the given area, angle and smaller side, we determine the length of the larger side.

Savsd = AB * AD * SinA.

AD = Savsd * SinA / AB = 127 * Sin60 / 10 = 127 * √3 / 20 = 6.35 * √2 cm.

Also Savsd = AD * BH.

BН = Savsd / АD = 127 / 6.35 * √2 = 20 / √2 = 10 * √2 cm.

Answer: The height of the parallelogram is 10 * √2 cm, the length of the longer side is 6.35 * √2 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.