In triangle ABC, BC = √6, angle A = 60, angle B = 75; Find: AB
| September 28, 2021 | education
The sum of the inner angles of the triangle is 180, then the angle ACB = (180 – BAC – ABC) = (180 – 60 – 75) = 45.
In triangle ABC we apply the theorem of sines.
BC / SinBAC = AB / SinACB.
AB = BC * SinACB / SinBAC = √6 * (√2 / 2) / (√3 / 2) = (2 * √12) / (2 * √3) = 2 * √3 / √3 = 2 cm.
Answer: The length of the AB side is 2 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.
