The perimeter of an isosceles triangle is 27cm, and the side is 3cm less than the base.
| July 3, 2021 | education
The perimeter of an isosceles triangle is 27cm, and the side is 3cm less than the base. What is the sum of the sides of this triangle?
1. A, B, C – the vertices of the triangle.
2. By the condition of the problem, the lateral side is 3 cm less than the base. AC = AB + 3 cm.
3. Further calculations are performed using the formula for calculating the perimeter:
AC + BC + AB = 27 cm.
BC = AB, since the triangle is isosceles.
4. Substitute in the original expression AB instead of BC and (AB + 3) instead of AC:
AB + 3 + 2AB = 27 cm.
3AB = 24 cm.
AB = 24: 3 = 8 cm.
BC + AB = 8 + 8 = 16 cm.
Answer: BC + AB = 16 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.
