Calculate the area of a rhombus whose side is 4 √ 3 and one of the corners is 120 °.

univerkov | January 4, 2021 | education

Since the rhombus has the sum of adjacent angles equal to 1800, then the angle ВAD = (180 – ADС) = (180 – 120) = 60.
In a rhombus, the lengths of all its sides are equal, AB = AH = BC = СD = 4 * √3 cm.
Let’s define the area of the rhombus.
Savsd = AB2 * Sin60 = (4 * √3) 2 * √3 / 2 = 24 * √3 cm2.
Answer: The area of the rhombus is 24 * √3 cm2.

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.