In an isosceles triangle with a perimeter of 56 cm, the base is 2: 3 to the side. Find the base of the triangle.

1.By the condition of the problem, the triangle is isosceles, so the perimeter P is

P = 2 * Y + X.

2. It is known that the base X of a triangle refers to its lateral side Y as 2: 3.

Let’s count how many parts are the perimeter of the triangle.

P = 2 * Y + X = 2 * 3 + 2 = 8.

3. Determine how many centimeters are one part of the perimeter of the triangle.

56 cm: 8 = 7 centimeters.

4. Find what is the base X of the triangle.

7 cm * 2 = 14 centimeters.

Answer: The base of an isosceles triangle is 14 centimeters.