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

In order to find the sides of the side of a triangle, we compose and solve a linear equation with one variable.

It is known from the condition that in an isosceles triangle with a perimeter of 56 cm, the base refers to the lateral side as 2: 3.

We enter the coefficient of similarity x, then the base can be written as 2x, and the side as 3x.

The perimeter is the sum of the lengths of all sides of the triangle.

P = a + b + c = 2a + b. (if a = c – an isosceles triangle).

3x * 2 + 2x = 56;

6x + 2x = 56;

8x = 56;

x = 56: 8;

x = 7.

So, the base is 2 * 7 = 14 cm, and the side side is 3 * 7 = 21 cm.