In triangle ABC with right angle C BC = 3 cm, cos B = 0.6. Find AB and AC.

1. Cos ∠В – quotient of dividing the length of the BC leg, which is the side of this angle, by the length of the hypotenuse AB.

2. Taking this into account, we calculate the length AB (hypotenuse):

BC: AB = 0.6.

AB = BC: 0.6 = 3: 0.6 = 5 centimeters.

3. Calculate the length of the second leg (AC). For the calculation, we use the formula of the Pythagorean theorem:

AC = √AB² – BC² = √5² – 3² = √16 = 4 centimeters.

Answer: the hypotenuse of triangle ABC is 5 centimeters long, the AC leg is 4 centimeters long.