In triangle ABC, angle C = 90 °, CD – height, angle A = α, AB = k. Find the lengths AC, BC, AD.

The ABC triangle is rectangular, then AC = AB * Cosα = k * Cosα.

BC = AB * Sinα = k * Sinα.

CD – height, then the triangle ACD is rectangular, then AD = AC * Cosα = k * Cos2α.

Answer: AC = AB * k * Cosα, BC = k * Sinα, AD = k * Cos2α.



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.