In a right-angled triangle ABC with a right angle C, the legs are known: AC = 6, BC = 8. Find the median CK of this triangle.
| February 27, 2021 | education
1. We calculate the length of the hypotenuse AB, using the formula of the Pythagorean theorem for the calculation:
AB = √AC ^ 2 + BC ^ 2 = √6 ^ 2 + 8 ^ 2 = √36 +64 = √100 = 10 units.
2. Since the median of the CК is drawn from the vertex of the right angle, its length is half the length
hypotenuse. Taking this property into account, we calculate the length of the median of the CК:
СK = AB: 2 = 10: 2 = 5 units.
Answer: the length of the median CК is 5 units.
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.
