In an isosceles triangle with perimeter = 112 cm, the base refers to the side as 2: 3. Find the sides of the triangle.

Let’s designate the base as 2 * x cm, then two identical sides are equal to 3 * x cm. Let’s make an equation, knowing that the perimeter of a triangle is equal to the sum of all sides.

2 * x + 3 * x + 3 * x = 112;

(2 + 3 + 3) * x = 112;

8 * x = 112;

x = 112/8 = 14;

2 * x = 2 * 14 = 28;

3 * x = 3 * 14 = 42;

Answer: The base of the triangle is 28 cm and the side length is 42 cm.