In the triangle, the sides a, b and the angle gamma between them are given.
| September 8, 2021 | education
In the triangle, the sides a, b and the angle gamma between them are given. Find the third side from this triangle a = 2√2m, b = 3m, gamma = 45 degrees.
To find the length of the BC side, we apply the cosine theorem for a triangle.
AB ^ 2 = AC ^ 2 + BC ^ 2 – 2 * AC * BC * Cos45.
AB ^ 2 = (3) ^ 2 + (2 * √2) ^ 2 – 2 * 3 * 2 * √2 * √2 / 2 = 9 + 8 – 12 = 5.
AB = √5 cm.
Answer: The length of the third side is √5 cm.
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.
