Given: ABC is an isosceles triangle with base AC, BK -bisector, AC -46cm. Find: AK.

An isosceles triangle is a triangle with equal sides. The bisector of the angle drawn from the top of an isosceles triangle to its base is also the height and the median. The median is a line segment drawn from the corner to the middle of the opposite side. Therefore, the AK segment is equal to half the base of the AC:

AK = AC / 2 = 46/2 = 23 cm.

Answer: 23 cm



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.