The perimeter of an isosceles triangle is 34 cm, the base is 4 cm larger than the lateral side. Find the length of the base.

Given:
The perimeter of an isosceles triangle is 34 centimeters.
The base is 4 centimeters larger than the side.

Let the side of the triangle be x centimeters.
Then the second side of the figure will also be equal to x centimeters.
The base will be (x + 4) centimeters.
Let’s make the equation:
x + x + x + 4 = 34;
3x = 34 – 4;
3x = 30;
x = 30: 3;
x = 10.
The sides are each 10 centimeters long.
Calculate the base of the triangle:
10 + 4 = 14 centimeters.
Answer: 14 centimeters.