# In the ABC Triangle, the angle C is 90 degrees, AC = 6, tg A = √7 / 3. Find AB.

September 15, 2021 | education

| The tangent of an acute angle in a right-angled triangle is the ratio of the opposite leg to the adjacent one;

tg A = √ 7/3 = BC / AC;

ВС = AC ∙ tg А = 6 ∙ √ 7/3 = 2 √ 7;

Then, by the Pythagorean theorem:

AB = √ (BC² + AC²) = √ (6² + 4 ∙ 7) = √ 64 = 8;

Answer: AB = 8;

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.