1. In the geometrical figure given according to the condition of the problem, the height performs the functions of the median, that is, it divides the base of the AC into equal segments AE and CE. AC = 2AE.
2. The perimeter of the triangle ABE = AB + BE + AE = AB + AE + 5 cm.
3. The perimeter of the triangle ABC = BC + AC + AB = 18 cm. BC = AB, since the triangle is isosceles. We replace in this expression BC with AB, AC with 2AE:
2AB + 2AE = 18 cm.
AB + AE = 9 cm.
4. Substitute AB + AE = 9 in the first expression: the perimeter of the triangle ABE = 9 + 5 = 14 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.