In a rhombus, one of the diagonals is equal to the side. Find the corners of the rhombus.
| August 14, 2021 | education
Let the diagonal BD = AB = AD = CD = CB, then the triangle ABD is equilateral. In an equilateral triangle, all angles are 60, then the angle BAD = ABD = ADB = 60. The diagonal of the rhombus divides the angle at the apex in half, then the angle ABC = 2 * ABD = 2 * 60 = 120.
The opposite angles of the rhombus are equal, then the angle BAD = BCD = 60, the angle ABC = ADC = 120.
Answer: The angles of the rhombus are 60 and 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.
