In triangle ABC, angle A is 90, tg of angle C is 3/4, AB = 6. Find AC.

univerkov | April 19, 2021 | education

1. In a right-angled triangle ABC, leg AC is a side of angle C, that is, adjacent to angle C, the tangent of which is 3/4. The AB leg is opposite this angle.

2. AB / AC = tangent of angle C = 3/4.

AC = 6: 3/4 = 24: 3 = 8 units.

Answer: the length of the leg AC of the triangle ABC is 8 units.

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.