Can a triangle have each angle less than 60 degrees?
| August 8, 2021 | education
Let A, B and C be the corners of a triangle.
According to the conditions of the problem, A <60, B <60, C <60.
Then A + B + C <60 + 60 + 60, that is, it turns out that A + B + C <180, but this cannot be, since the sum of the angles of any triangle is 180 degrees.
Answer. All three angles of a triangle cannot be less than 60 degrees.
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.
