# The perimeter of an isosceles triangle is 20 cm. The side of the triangle is twice the length

The perimeter of an isosceles triangle is 20 cm. The side of the triangle is twice the length of its base, find the length of the base and side of the triangle

Given:

isosceles triangle ABC,

AB and BC – lateral sides,

AC is the base.

P ABC = 20 centimeters,

AB = 2 * AC.

Find the sides of the triangle ABC, that is, AB, BC, AC -?

Solution:

Consider an isosceles triangle ABC. His sides are equal, that is, AB = BC. Therefore, P ABC = AB + BC + AC;

R ABC = 2 * AC + 2 * AC + AC;

20 = AC * (1 + 2 + 1);

20 = AC * 5;

AC = 20: 5;

AC = 4 centimeters;

2 * 4 = 8 centimeters – the length of the AB base.

Answer: 4 centimeters; 8 centimeters; 8 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.