# The perimeter of an isosceles triangle is 31 cm, its lateral side is 2 cm more than the base

The perimeter of an isosceles triangle is 31 cm, its lateral side is 2 cm more than the base. Find the sides of the triangle.

Given:
The perimeter of an isosceles triangle is 31 cm.
The lateral side is 2 cm larger than the base.

Let the base of this triangle be x centimeters.
Then the side will be (x +2) centimeters.
The second side will also be equal to (x +2) centimeters.
Let’s make the equation:
x + x + 2 + x + 2 = 31;
3x + 4 = 31;
3x = 31 – 4;
3x = 27;
x = 27: 3;
x = 9.
The base of the triangle is 9 centimeters long.
Let’s find the sides of this figure:
9 + 2 = 11 cm.
Answer: 11 cm, 11 cm and 9 cm.

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