The perimeter of an isosceles triangle is 16 cm. The base of the triangle is 2 times larger. Find the sides of the triangle.

To find the lengths of the sides of an isosceles triangle, we will compose and solve an equation. So, we know that its perimeter is 16 cm. And it is also known that the base is 2 times larger than the side.

An isosceles triangle has two sides equal to each other. And we will designate them as x cm, then the base (based on the condition) will be written as 2x cm.

We write the perimeter of an isosceles triangle as follows:

P = 2a + b;

2 * x + 2x = 16;

2x + 2x = 16;

x (2 + 2) = 16;

4x = 16;

x = 16: 4;

x = 4 cm side, 2 * 4 = 8 cm base.