Calculate the area of a rhombus if its side is 10 cm and one of the corners is 150 °.
| August 2, 2021 | education
The sum of the adjacent angles of the rhombus is 180, then the angle BAD + ABC = 180.
Angle BAD = 180 – 150 = 30.
The area of a rhombus is equal to the product of the square of its sides by the sine of the acute angle between them.
Savsd = AB ^ 2 * SinBAD = 10 ^ 2 * Sin30 = 100/2 = 50 cm2.
Answer: The area of the rhombus is 50 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.
