# The sides of the triangle are 1; 1; √2. find its corners.

August 30, 2021 | education

| We apply the cosine theorem for a triangle and determine the value of the angle ABC.

AC ^ 2 = AB ^ 2 + BC ^ 2 – 2 * AB * BC * CosABS.

2 = 1 + 1 – 2 * 1 * 1 * Cos ABC.

2 * CosABC = 2 – 2 = 0.

CosABC = 0.

Angle ABC = 90.

Since, by condition, AB = BC = 1 cm, then the triangle ABC is isosceles, then the angle BAC = BCA = (180 – 90) / 2 = 45.

Answer: The angles of the triangle are 90, 45, 45.

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.