The side of the rhombus is 6 and the acute angle is 30 degrees. What is the product of its diagonals?
| August 9, 2021 | education
Let’s define the area of a rhombus through the length of its sides and the angle between them.
Savsd = AB * AD * Sin30 = 6 * 6 * (1/2) = 18 cm2.
Let’s define the area of a rhombus through the lengths of its diagonals.
Savsd = АС * ВD / 2.
AC * BD = 2 * Savsd = 2 * 18 = 36.
Answer: The product of the lengths of the diagonals is 36.
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.
