1. Leg BC is adjacent to the angle at apex C, AB is the hypotenuse. Based on the fact that
their ratio is the cosine of the angle, we calculate the length of the hypotenuse:
0.6 = BC / AB;
AB = BC / 0.6 = 3 / 0.6 = 5 centimeters.
2. We calculate the length of the leg AC, applying the Pythagorean theorem:
AC ^ 2 = AB ^ 2 – BC ^ 2 = 25 – 9 = 16;
AC = √16 = 4 centimeters.
Answer: the length of the AC leg is 4 centimeters, the length of the hypotenuse AB is 5 centimeters.
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.