How to prove that all angles are equal in an equilateral triangle?

univerkov | May 24, 2021 | education

Let an equilateral triangle ABC be given, then AB = BC = AC. By the property of the angles at the base of the AC in the isosceles triangle ABC, we obtain that ∠BAC = ∠BCA. By the property of angles at the base of AB in an isosceles triangle ABC, we obtain that ∠BAC = ∠CAB. So, in this triangle ABC: ∠BAC = ∠BCA = ∠CAB. From this we can conclude that in an equilateral triangle, all angles are equal. Q.E.D.

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.