Calculate the obtuse angle of the rhombus if the perimeter of the rhombus is 16 cm and the short diagonal is 4 cm.
| September 7, 2021 | education
Since the perimeter of the rhombus is 16 cm, its side will be equal to: AB = 16/4 = 4 cm.
The diagonal BD at point O is divided in half, then BO = BD / 2 = 4/2 = 2 cm.
In a right-angled triangle ABO, the ВO leg is two times shorter than the hypotenuse AB, then the angle BAO = 30, and the angle ABO = 60.
The diagonal BD is the bisector of the ABC angle, then the ABC angle = 60 * 2 = 120.
Answer: The obtuse angle of the rhombus is 120.
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.
