BK is the height of the triangle ABC. Find the AC if AK-5 cm, KC-11 cm, angle A = 120 *.

univerkov | April 1, 2021 | education

Since the angle A = 120˚ (120˚ ˃ 90˚), the ABC triangle is obtuse. This means that the ВC height lies on the extension of the AC side, that is, the AK segment is part of the КC. Accordingly, the AC side is equal to:

AC = KС – AK;

AC = 11 – 5 = 6 cm.

Answer: AC = 6 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.