In triangle ABC, angle C = 20 degrees, angle B = 115 degrees, height BH = 8 cm. Find HA

Determine the value of the angle BAC of the triangle ABC.

The sum of the inner angles of the triangle is 180, then the angle BAC = (180 – ABC – ACB) = (180 – 115 – 20) = 45.

The height BH forms a right-angled triangle ABH in which one of the acute angles is 45, and therefore the legs of such a triangle are equal. AH = BH = 8 cm.

Answer: The length of the segment AH is 8 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.