In an isosceles triangle with a perimeter of 40 cm, the base is 2 times smaller than the side. Find the sides of the triangle.

From the condition, we know that in an isosceles triangle with a perimeter of 40 cm, the base is 2 times smaller than the lateral side. In order to find the sides of a triangle, we compose and solve a linear equation with one variable.

We denote by the variable x cm the length of the base, then the side side can be written as 2x.

Formula for finding the perimeter of an isosceles triangle.

P = 2a + b, a – side, b – base.

2 * 2x + x = 40;

4x + x = 40;

5x = 40;

x = 40: 5;

x = 8 cm base of the triangle,

8 * 2 = 16 cm side toron.