Given a right-angled triangle ABC (angle C = 90 degrees). Angle B is 30 degrees, and the length
| March 2, 2021 | education
Given a right-angled triangle ABC (angle C = 90 degrees). Angle B is 30 degrees, and the length of the adjacent leg is 9 cm. Find the length of the second leg and the hypotenuse.
In a right-angled triangle, the tangent of an acute angle is equal to the ratio of the length of the opposite leg to the length of the adjacent leg.
tgBAC = BC / AC.
ВС = АС * tgBAC = 9 * tg30 = 9 * √3 / 3 = 3 * √3 cm.
Kate BC lies against an angle of 300, then its length is equal to half the length of the hypotenuse AB.
BC = AB / 2.
AB = 2 * BC = 2 * 3 * √3 = 6 * √3 cm.
Answer: The length of BC is 3 * √3 cm, AB is 6 * √3 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.
