The base of an isosceles triangle is 2 times smaller than the lateral side.

The base of an isosceles triangle is 2 times smaller than the lateral side. The perimeter is 30cm, find the side length.

Let be

x is the length of the lateral side of an isosceles triangle;

x / 2 is the length of the base of an isosceles triangle.

We get the equation:

x / 2 + 2x = 30;

x + 4x = 60;

5x = 60;

x = 60/5;

x = 12.

12 cm – the length of the lateral side of an isosceles triangle;

12/2 = 6 cm – the length of the base of an isosceles triangle.

Verification:

6 + 2 x 12 = 6 + 24 = 30 cm.