In triangle ABC, angle C is 90 degrees, AB = 45, AC = 36. Find tg А

In a right-angled triangle, the ratio of the opposite leg to the adjacent leg is called the tangent of the angle. In triangle ABC, by condition, angle C = 90 °, hypotenuse AB = 45 cm, adjacent leg AC = 36 cm. Using the Pythagorean theorem, we find the opposite leg BC: | BC | = √ (| AB | ^ 2 – | AC | ^ 2) = √ (45 ^ 2 – 36 ^ 2) = √ (2025 – 1296) = √729 = 27.

Mean tg A = 27/21 = 9/7 = 1 2/7.