In an isosceles triangle, the base is 3/4 of the side. Find the lengths of the sides of the triangle if its perimeter is 22 cm.

Let us denote by the variable x the number of centimeters to which the lateral side of the indicated isosceles triangle is equal.

Accordingly, the length of the base of the indicated isosceles triangle can be represented through 3x / 4 centimeters.

Knowing by the condition of the problem that the perimeter of this isosceles triangle leaves 22 centimeters, we draw up an equation and determine the lengths of its sides:

x + x + 3x / 4 = 22;

2.75x = 22;

x = 8;

3 * 8/4 = 6.

Answer: The length of each side is 8 cm, the base is 6 cm.